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Finding the Third Proportional to 31,986,494 and 69,652,348

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Solution

The third proportional to 31,986,494 and 69,652,348 is: 151,671,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986,494 : 69,652,348 = 69,652,348 : x
  2. Step 2: Convert to fraction form
    31,986,494/69,652,348 = 69,652,348/x
  3. Step 3: Cross multiply
    31,986,494x = 69,652,348 × 69,652,348
  4. Step 4: Simplify right side
    31,986,494x = 4,851,449,581,913,104
  5. Step 5: Solve for x
    x = 4,851,449,581,913,104/31,986,494
  6. Step 6: Final answer
    x = 151,671,814.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.