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Finding the Third Proportional to 5,897,300 and 12,614,330

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Solution

The third proportional to 5,897,300 and 12,614,330 is: 26,982,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897,300 : 12,614,330 = 12,614,330 : x
  2. Step 2: Convert to fraction form
    5,897,300/12,614,330 = 12,614,330/x
  3. Step 3: Cross multiply
    5,897,300x = 12,614,330 × 12,614,330
  4. Step 4: Simplify right side
    5,897,300x = 159,121,321,348,900
  5. Step 5: Solve for x
    x = 159,121,321,348,900/5,897,300
  6. Step 6: Final answer
    x = 26,982,063.21

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Why These Related Problems?

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