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Finding the Third Proportional to 34,654,756,800 and 75,953,057,542

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Solution

The third proportional to 34,654,756,800 and 75,953,057,542 is: 166,466,813,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654,756,800 : 75,953,057,542 = 75,953,057,542 : x
  2. Step 2: Convert to fraction form
    34,654,756,800/75,953,057,542 = 75,953,057,542/x
  3. Step 3: Cross multiply
    34,654,756,800x = 75,953,057,542 × 75,953,057,542
  4. Step 4: Simplify right side
    34,654,756,800x = 5,768,866,949,978,363,265,024
  5. Step 5: Solve for x
    x = 5,768,866,949,978,363,265,024/34,654,756,800
  6. Step 6: Final answer
    x = 166,466,813,871.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.