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Finding the Third Proportional to 6,593,766,375,358.80 and 9,975,454,433,369.10

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Solution

The third proportional to 6,593,766,375,358.80 and 9,975,454,433,369.10 is: 15,091,479,662,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,766,375,358.80 : 9,975,454,433,369.10 = 9,975,454,433,369.10 : x
  2. Step 2: Convert to fraction form
    6,593,766,375,358.80/9,975,454,433,369.10 = 9,975,454,433,369.10/x
  3. Step 3: Cross multiply
    6,593,766,375,358.80x = 9,975,454,433,369.10 × 9,975,454,433,369.10
  4. Step 4: Simplify right side
    6,593,766,375,358.80x = 99,509,691,152,223,219,920,928,768
  5. Step 5: Solve for x
    x = 99,509,691,152,223,219,920,928,768/6,593,766,375,358.80
  6. Step 6: Final answer
    x = 15,091,479,662,381.64

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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.