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Finding the Third Proportional to 272,925,132 and 644,283,653

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Solution

The third proportional to 272,925,132 and 644,283,653 is: 1,520,935,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,925,132 : 644,283,653 = 644,283,653 : x
  2. Step 2: Convert to fraction form
    272,925,132/644,283,653 = 644,283,653/x
  3. Step 3: Cross multiply
    272,925,132x = 644,283,653 × 644,283,653
  4. Step 4: Simplify right side
    272,925,132x = 415,101,425,523,024,384
  5. Step 5: Solve for x
    x = 415,101,425,523,024,384/272,925,132
  6. Step 6: Final answer
    x = 1,520,935,146.14

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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.