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Finding the Third Proportional to 9,031,414 and 13,758,853

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Solution

The third proportional to 9,031,414 and 13,758,853 is: 20,960,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,414 : 13,758,853 = 13,758,853 : x
  2. Step 2: Convert to fraction form
    9,031,414/13,758,853 = 13,758,853/x
  3. Step 3: Cross multiply
    9,031,414x = 13,758,853 × 13,758,853
  4. Step 4: Simplify right side
    9,031,414x = 189,306,035,875,609
  5. Step 5: Solve for x
    x = 189,306,035,875,609/9,031,414
  6. Step 6: Final answer
    x = 20,960,841.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.