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Finding the Third Proportional to 27,634,038 and 43,344,327

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Solution

The third proportional to 27,634,038 and 43,344,327 is: 67,986,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634,038 : 43,344,327 = 43,344,327 : x
  2. Step 2: Convert to fraction form
    27,634,038/43,344,327 = 43,344,327/x
  3. Step 3: Cross multiply
    27,634,038x = 43,344,327 × 43,344,327
  4. Step 4: Simplify right side
    27,634,038x = 1,878,730,683,082,929
  5. Step 5: Solve for x
    x = 1,878,730,683,082,929/27,634,038
  6. Step 6: Final answer
    x = 67,986,107.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.