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Finding the Third Proportional to 31,936,599 and 47,851,768

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Solution

The third proportional to 31,936,599 and 47,851,768 is: 71,698,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,936,599 : 47,851,768 = 47,851,768 : x
  2. Step 2: Convert to fraction form
    31,936,599/47,851,768 = 47,851,768/x
  3. Step 3: Cross multiply
    31,936,599x = 47,851,768 × 47,851,768
  4. Step 4: Simplify right side
    31,936,599x = 2,289,791,700,725,824
  5. Step 5: Solve for x
    x = 2,289,791,700,725,824/31,936,599
  6. Step 6: Final answer
    x = 71,698,044.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.