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Finding the Third Proportional to 12,829,549.50 and 27,917,677.69

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Solution

The third proportional to 12,829,549.50 and 27,917,677.69 is: 60,750,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829,549.50 : 27,917,677.69 = 27,917,677.69 : x
  2. Step 2: Convert to fraction form
    12,829,549.50/27,917,677.69 = 27,917,677.69/x
  3. Step 3: Cross multiply
    12,829,549.50x = 27,917,677.69 × 27,917,677.69
  4. Step 4: Simplify right side
    12,829,549.50x = 779,396,727,463,135.38
  5. Step 5: Solve for x
    x = 779,396,727,463,135.38/12,829,549.50
  6. Step 6: Final answer
    x = 60,750,124.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.