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Finding the Third Proportional to 653,753,328,156 and 920,227,576,518

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Solution

The third proportional to 653,753,328,156 and 920,227,576,518 is: 1,295,318,518,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,753,328,156 : 920,227,576,518 = 920,227,576,518 : x
  2. Step 2: Convert to fraction form
    653,753,328,156/920,227,576,518 = 920,227,576,518/x
  3. Step 3: Cross multiply
    653,753,328,156x = 920,227,576,518 × 920,227,576,518
  4. Step 4: Simplify right side
    653,753,328,156x = 846,818,792,584,191,512,936,448
  5. Step 5: Solve for x
    x = 846,818,792,584,191,512,936,448/653,753,328,156
  6. Step 6: Final answer
    x = 1,295,318,518,641.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.