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Finding the Third Proportional to 124,196,171,572 and 270,152,797,591

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Solution

The third proportional to 124,196,171,572 and 270,152,797,591 is: 587,639,160,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,196,171,572 : 270,152,797,591 = 270,152,797,591 : x
  2. Step 2: Convert to fraction form
    124,196,171,572/270,152,797,591 = 270,152,797,591/x
  3. Step 3: Cross multiply
    124,196,171,572x = 270,152,797,591 × 270,152,797,591
  4. Step 4: Simplify right side
    124,196,171,572x = 72,982,534,046,243,818,045,440
  5. Step 5: Solve for x
    x = 72,982,534,046,243,818,045,440/124,196,171,572
  6. Step 6: Final answer
    x = 587,639,160,873.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.