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Finding the Third Proportional to 32,031,320 and 69,101,480

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Solution

The third proportional to 32,031,320 and 69,101,480 is: 149,073,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031,320 : 69,101,480 = 69,101,480 : x
  2. Step 2: Convert to fraction form
    32,031,320/69,101,480 = 69,101,480/x
  3. Step 3: Cross multiply
    32,031,320x = 69,101,480 × 69,101,480
  4. Step 4: Simplify right side
    32,031,320x = 4,775,014,538,190,400
  5. Step 5: Solve for x
    x = 4,775,014,538,190,400/32,031,320
  6. Step 6: Final answer
    x = 149,073,298.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.