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Finding the Third Proportional to 32,031,332 and 69,101,512

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Solution

The third proportional to 32,031,332 and 69,101,512 is: 149,073,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031,332 : 69,101,512 = 69,101,512 : x
  2. Step 2: Convert to fraction form
    32,031,332/69,101,512 = 69,101,512/x
  3. Step 3: Cross multiply
    32,031,332x = 69,101,512 × 69,101,512
  4. Step 4: Simplify right side
    32,031,332x = 4,775,018,960,686,144
  5. Step 5: Solve for x
    x = 4,775,018,960,686,144/32,031,332
  6. Step 6: Final answer
    x = 149,073,381.05

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Why These Related Problems?

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