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Finding the Third Proportional to 10,375,899.75 and 16,575,661.13

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Solution

The third proportional to 10,375,899.75 and 16,575,661.13 is: 26,479,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375,899.75 : 16,575,661.13 = 16,575,661.13 : x
  2. Step 2: Convert to fraction form
    10,375,899.75/16,575,661.13 = 16,575,661.13/x
  3. Step 3: Cross multiply
    10,375,899.75x = 16,575,661.13 × 16,575,661.13
  4. Step 4: Simplify right side
    10,375,899.75x = 274,752,541,730,836.25
  5. Step 5: Solve for x
    x = 274,752,541,730,836.25/10,375,899.75
  6. Step 6: Final answer
    x = 26,479,876.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.