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Finding the Third Proportional to 13,862,826 and 30,913,174.13

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Solution

The third proportional to 13,862,826 and 30,913,174.13 is: 68,934,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862,826 : 30,913,174.13 = 30,913,174.13 : x
  2. Step 2: Convert to fraction form
    13,862,826/30,913,174.13 = 30,913,174.13/x
  3. Step 3: Cross multiply
    13,862,826x = 30,913,174.13 × 30,913,174.13
  4. Step 4: Simplify right side
    13,862,826x = 955,624,334,482,569.50
  5. Step 5: Solve for x
    x = 955,624,334,482,569.50/13,862,826
  6. Step 6: Final answer
    x = 68,934,309.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.