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Finding the Third Proportional to 38,418,098 and 83,857,014

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Solution

The third proportional to 38,418,098 and 83,857,014 is: 183,038,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418,098 : 83,857,014 = 83,857,014 : x
  2. Step 2: Convert to fraction form
    38,418,098/83,857,014 = 83,857,014/x
  3. Step 3: Cross multiply
    38,418,098x = 83,857,014 × 83,857,014
  4. Step 4: Simplify right side
    38,418,098x = 7,031,998,796,996,196
  5. Step 5: Solve for x
    x = 7,031,998,796,996,196/38,418,098
  6. Step 6: Final answer
    x = 183,038,702.15

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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.