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Finding the Third Proportional to 5,897,304 and 12,614,340

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Solution

The third proportional to 5,897,304 and 12,614,340 is: 26,982,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897,304 : 12,614,340 = 12,614,340 : x
  2. Step 2: Convert to fraction form
    5,897,304/12,614,340 = 12,614,340/x
  3. Step 3: Cross multiply
    5,897,304x = 12,614,340 × 12,614,340
  4. Step 4: Simplify right side
    5,897,304x = 159,121,573,635,600
  5. Step 5: Solve for x
    x = 159,121,573,635,600/5,897,304
  6. Step 6: Final answer
    x = 26,982,087.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.