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Finding the Third Proportional to 5,321,143.13 and 11,672,358.19

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Solution

The third proportional to 5,321,143.13 and 11,672,358.19 is: 25,604,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,143.13 : 11,672,358.19 = 11,672,358.19 : x
  2. Step 2: Convert to fraction form
    5,321,143.13/11,672,358.19 = 11,672,358.19/x
  3. Step 3: Cross multiply
    5,321,143.13x = 11,672,358.19 × 11,672,358.19
  4. Step 4: Simplify right side
    5,321,143.13x = 136,243,945,657,298.28
  5. Step 5: Solve for x
    x = 136,243,945,657,298.28/5,321,143.13
  6. Step 6: Final answer
    x = 25,604,262.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.