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Finding the Third Proportional to 10,100,012.13 and 15,671,053.86

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Solution

The third proportional to 10,100,012.13 and 15,671,053.86 is: 24,315,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,012.13 : 15,671,053.86 = 15,671,053.86 : x
  2. Step 2: Convert to fraction form
    10,100,012.13/15,671,053.86 = 15,671,053.86/x
  3. Step 3: Cross multiply
    10,100,012.13x = 15,671,053.86 × 15,671,053.86
  4. Step 4: Simplify right side
    10,100,012.13x = 245,581,929,185,854.38
  5. Step 5: Solve for x
    x = 245,581,929,185,854.38/10,100,012.13
  6. Step 6: Final answer
    x = 24,315,013.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.