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Finding the Third Proportional to 31,449,975 and 46,129,536

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Solution

The third proportional to 31,449,975 and 46,129,536 is: 67,660,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,975 : 46,129,536 = 46,129,536 : x
  2. Step 2: Convert to fraction form
    31,449,975/46,129,536 = 46,129,536/x
  3. Step 3: Cross multiply
    31,449,975x = 46,129,536 × 46,129,536
  4. Step 4: Simplify right side
    31,449,975x = 2,127,934,091,575,296
  5. Step 5: Solve for x
    x = 2,127,934,091,575,296/31,449,975
  6. Step 6: Final answer
    x = 67,660,915.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.