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Finding the Third Proportional to 2,495,494.13 and 5,108,995.13

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Solution

The third proportional to 2,495,494.13 and 5,108,995.13 is: 10,459,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495,494.13 : 5,108,995.13 = 5,108,995.13 : x
  2. Step 2: Convert to fraction form
    2,495,494.13/5,108,995.13 = 5,108,995.13/x
  3. Step 3: Cross multiply
    2,495,494.13x = 5,108,995.13 × 5,108,995.13
  4. Step 4: Simplify right side
    2,495,494.13x = 26,101,831,187,273.77
  5. Step 5: Solve for x
    x = 26,101,831,187,273.77/2,495,494.13
  6. Step 6: Final answer
    x = 10,459,584.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.