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Finding the Third Proportional to 38,220,632 and 83,159,368

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Solution

The third proportional to 38,220,632 and 83,159,368 is: 180,935,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220,632 : 83,159,368 = 83,159,368 : x
  2. Step 2: Convert to fraction form
    38,220,632/83,159,368 = 83,159,368/x
  3. Step 3: Cross multiply
    38,220,632x = 83,159,368 × 83,159,368
  4. Step 4: Simplify right side
    38,220,632x = 6,915,480,486,159,424
  5. Step 5: Solve for x
    x = 6,915,480,486,159,424/38,220,632
  6. Step 6: Final answer
    x = 180,935,796.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.