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Finding the Third Proportional to 2,666,686.50 and 5,865,057

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Solution

The third proportional to 2,666,686.50 and 5,865,057 is: 12,899,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666,686.50 : 5,865,057 = 5,865,057 : x
  2. Step 2: Convert to fraction form
    2,666,686.50/5,865,057 = 5,865,057/x
  3. Step 3: Cross multiply
    2,666,686.50x = 5,865,057 × 5,865,057
  4. Step 4: Simplify right side
    2,666,686.50x = 34,398,893,613,249
  5. Step 5: Solve for x
    x = 34,398,893,613,249/2,666,686.50
  6. Step 6: Final answer
    x = 12,899,489.17

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