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Finding the Third Proportional to 10,694,854.13 and 23,094,109.13

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Solution

The third proportional to 10,694,854.13 and 23,094,109.13 is: 49,868,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,854.13 : 23,094,109.13 = 23,094,109.13 : x
  2. Step 2: Convert to fraction form
    10,694,854.13/23,094,109.13 = 23,094,109.13/x
  3. Step 3: Cross multiply
    10,694,854.13x = 23,094,109.13 × 23,094,109.13
  4. Step 4: Simplify right side
    10,694,854.13x = 533,337,876,277,408.25
  5. Step 5: Solve for x
    x = 533,337,876,277,408.25/10,694,854.13
  6. Step 6: Final answer
    x = 49,868,644.31

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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.