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Finding the Third Proportional to 6,502,320 and 14,291,730

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Solution

The third proportional to 6,502,320 and 14,291,730 is: 31,412,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,320 : 14,291,730 = 14,291,730 : x
  2. Step 2: Convert to fraction form
    6,502,320/14,291,730 = 14,291,730/x
  3. Step 3: Cross multiply
    6,502,320x = 14,291,730 × 14,291,730
  4. Step 4: Simplify right side
    6,502,320x = 204,253,546,392,900
  5. Step 5: Solve for x
    x = 204,253,546,392,900/6,502,320
  6. Step 6: Final answer
    x = 31,412,410.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.