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Finding the Third Proportional to 113,977,972 and 268,791,721

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Solution

The third proportional to 113,977,972 and 268,791,721 is: 633,885,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977,972 : 268,791,721 = 268,791,721 : x
  2. Step 2: Convert to fraction form
    113,977,972/268,791,721 = 268,791,721/x
  3. Step 3: Cross multiply
    113,977,972x = 268,791,721 × 268,791,721
  4. Step 4: Simplify right side
    113,977,972x = 72,248,989,278,141,840
  5. Step 5: Solve for x
    x = 72,248,989,278,141,840/113,977,972
  6. Step 6: Final answer
    x = 633,885,548.32

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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.