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Finding the Third Proportional to 13,527,320 and 29,971,312

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Solution

The third proportional to 13,527,320 and 29,971,312 is: 66,404,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527,320 : 29,971,312 = 29,971,312 : x
  2. Step 2: Convert to fraction form
    13,527,320/29,971,312 = 29,971,312/x
  3. Step 3: Cross multiply
    13,527,320x = 29,971,312 × 29,971,312
  4. Step 4: Simplify right side
    13,527,320x = 898,279,543,001,344
  5. Step 5: Solve for x
    x = 898,279,543,001,344/13,527,320
  6. Step 6: Final answer
    x = 66,404,841.68

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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.