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Finding the Third Proportional to 38,850,920 and 83,926,480

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Solution

The third proportional to 38,850,920 and 83,926,480 is: 181,299,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,850,920 : 83,926,480 = 83,926,480 : x
  2. Step 2: Convert to fraction form
    38,850,920/83,926,480 = 83,926,480/x
  3. Step 3: Cross multiply
    38,850,920x = 83,926,480 × 83,926,480
  4. Step 4: Simplify right side
    38,850,920x = 7,043,654,045,190,400
  5. Step 5: Solve for x
    x = 7,043,654,045,190,400/38,850,920
  6. Step 6: Final answer
    x = 181,299,543.10

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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.