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Finding the Third Proportional to 81,638,712 and 176,264,558

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Solution

The third proportional to 81,638,712 and 176,264,558 is: 380,569,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638,712 : 176,264,558 = 176,264,558 : x
  2. Step 2: Convert to fraction form
    81,638,712/176,264,558 = 176,264,558/x
  3. Step 3: Cross multiply
    81,638,712x = 176,264,558 × 176,264,558
  4. Step 4: Simplify right side
    81,638,712x = 31,069,194,406,935,364
  5. Step 5: Solve for x
    x = 31,069,194,406,935,364/81,638,712
  6. Step 6: Final answer
    x = 380,569,384.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.