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Finding the Third Proportional to 6,593,766,375,419.40 and 9,975,454,433,460.30

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Solution

The third proportional to 6,593,766,375,419.40 and 9,975,454,433,460.30 is: 15,091,479,662,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,766,375,419.40 : 9,975,454,433,460.30 = 9,975,454,433,460.30 : x
  2. Step 2: Convert to fraction form
    6,593,766,375,419.40/9,975,454,433,460.30 = 9,975,454,433,460.30/x
  3. Step 3: Cross multiply
    6,593,766,375,419.40x = 9,975,454,433,460.30 × 9,975,454,433,460.30
  4. Step 4: Simplify right side
    6,593,766,375,419.40x = 99,509,691,154,042,774,225,944,576
  5. Step 5: Solve for x
    x = 99,509,691,154,042,774,225,944,576/6,593,766,375,419.40
  6. Step 6: Final answer
    x = 15,091,479,662,518.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.