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Finding the Third Proportional to 26,576,198,624 and 62,735,657,324

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Solution

The third proportional to 26,576,198,624 and 62,735,657,324 is: 148,093,516,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576,198,624 : 62,735,657,324 = 62,735,657,324 : x
  2. Step 2: Convert to fraction form
    26,576,198,624/62,735,657,324 = 62,735,657,324/x
  3. Step 3: Cross multiply
    26,576,198,624x = 62,735,657,324 × 62,735,657,324
  4. Step 4: Simplify right side
    26,576,198,624x = 3,935,762,699,874,354,593,792
  5. Step 5: Solve for x
    x = 3,935,762,699,874,354,593,792/26,576,198,624
  6. Step 6: Final answer
    x = 148,093,516,140.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.