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Finding the Third Proportional to 12,808,000.13 and 27,661,032.56

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Solution

The third proportional to 12,808,000.13 and 27,661,032.56 is: 59,738,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,000.13 : 27,661,032.56 = 27,661,032.56 : x
  2. Step 2: Convert to fraction form
    12,808,000.13/27,661,032.56 = 27,661,032.56/x
  3. Step 3: Cross multiply
    12,808,000.13x = 27,661,032.56 × 27,661,032.56
  4. Step 4: Simplify right side
    12,808,000.13x = 765,132,722,423,685.38
  5. Step 5: Solve for x
    x = 765,132,722,423,685.38/12,808,000.13
  6. Step 6: Final answer
    x = 59,738,656.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.