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Finding the Third Proportional to 6,593,766,375,347.70 and 9,975,454,433,358.30

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Solution

The third proportional to 6,593,766,375,347.70 and 9,975,454,433,358.30 is: 15,091,479,662,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,766,375,347.70 : 9,975,454,433,358.30 = 9,975,454,433,358.30 : x
  2. Step 2: Convert to fraction form
    6,593,766,375,347.70/9,975,454,433,358.30 = 9,975,454,433,358.30/x
  3. Step 3: Cross multiply
    6,593,766,375,347.70x = 9,975,454,433,358.30 × 9,975,454,433,358.30
  4. Step 4: Simplify right side
    6,593,766,375,347.70x = 99,509,691,152,007,784,361,361,408
  5. Step 5: Solve for x
    x = 99,509,691,152,007,784,361,361,408/6,593,766,375,347.70
  6. Step 6: Final answer
    x = 15,091,479,662,374.37

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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.