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Finding the Third Proportional to 13,527,324 and 29,971,320

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Solution

The third proportional to 13,527,324 and 29,971,320 is: 66,404,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527,324 : 29,971,320 = 29,971,320 : x
  2. Step 2: Convert to fraction form
    13,527,324/29,971,320 = 29,971,320/x
  3. Step 3: Cross multiply
    13,527,324x = 29,971,320 × 29,971,320
  4. Step 4: Simplify right side
    13,527,324x = 898,280,022,542,400
  5. Step 5: Solve for x
    x = 898,280,022,542,400/13,527,324
  6. Step 6: Final answer
    x = 66,404,857.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.