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Finding the Third Proportional to 9,712,674 and 14,032,000.13

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Solution

The third proportional to 9,712,674 and 14,032,000.13 is: 20,272,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,674 : 14,032,000.13 = 14,032,000.13 : x
  2. Step 2: Convert to fraction form
    9,712,674/14,032,000.13 = 14,032,000.13/x
  3. Step 3: Cross multiply
    9,712,674x = 14,032,000.13 × 14,032,000.13
  4. Step 4: Simplify right side
    9,712,674x = 196,897,027,508,000
  5. Step 5: Solve for x
    x = 196,897,027,508,000/9,712,674
  6. Step 6: Final answer
    x = 20,272,175.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.