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Finding the Third Proportional to 6,502,329 and 14,291,748

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Solution

The third proportional to 6,502,329 and 14,291,748 is: 31,412,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,329 : 14,291,748 = 14,291,748 : x
  2. Step 2: Convert to fraction form
    6,502,329/14,291,748 = 14,291,748/x
  3. Step 3: Cross multiply
    6,502,329x = 14,291,748 × 14,291,748
  4. Step 4: Simplify right side
    6,502,329x = 204,254,060,895,504
  5. Step 5: Solve for x
    x = 204,254,060,895,504/6,502,329
  6. Step 6: Final answer
    x = 31,412,446.36

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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.