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Finding the Third Proportional to 47,658,342 and 73,644,282

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Solution

The third proportional to 47,658,342 and 73,644,282 is: 113,799,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658,342 : 73,644,282 = 73,644,282 : x
  2. Step 2: Convert to fraction form
    47,658,342/73,644,282 = 73,644,282/x
  3. Step 3: Cross multiply
    47,658,342x = 73,644,282 × 73,644,282
  4. Step 4: Simplify right side
    47,658,342x = 5,423,480,271,295,524
  5. Step 5: Solve for x
    x = 5,423,480,271,295,524/47,658,342
  6. Step 6: Final answer
    x = 113,799,180.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.