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Finding the Third Proportional to 31,450,221 and 67,272,525

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Solution

The third proportional to 31,450,221 and 67,272,525 is: 143,897,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450,221 : 67,272,525 = 67,272,525 : x
  2. Step 2: Convert to fraction form
    31,450,221/67,272,525 = 67,272,525/x
  3. Step 3: Cross multiply
    31,450,221x = 67,272,525 × 67,272,525
  4. Step 4: Simplify right side
    31,450,221x = 4,525,592,619,875,625
  5. Step 5: Solve for x
    x = 4,525,592,619,875,625/31,450,221
  6. Step 6: Final answer
    x = 143,897,005.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.