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Finding the Third Proportional to 7,031,713 and 10,566,294

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Solution

The third proportional to 7,031,713 and 10,566,294 is: 15,877,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031,713 : 10,566,294 = 10,566,294 : x
  2. Step 2: Convert to fraction form
    7,031,713/10,566,294 = 10,566,294/x
  3. Step 3: Cross multiply
    7,031,713x = 10,566,294 × 10,566,294
  4. Step 4: Simplify right side
    7,031,713x = 111,646,568,894,436
  5. Step 5: Solve for x
    x = 111,646,568,894,436/7,031,713
  6. Step 6: Final answer
    x = 15,877,577.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.