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Finding the Third Proportional to 38,865,938 and 83,616,292

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Solution

The third proportional to 38,865,938 and 83,616,292 is: 179,892,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,865,938 : 83,616,292 = 83,616,292 : x
  2. Step 2: Convert to fraction form
    38,865,938/83,616,292 = 83,616,292/x
  3. Step 3: Cross multiply
    38,865,938x = 83,616,292 × 83,616,292
  4. Step 4: Simplify right side
    38,865,938x = 6,991,684,287,829,264
  5. Step 5: Solve for x
    x = 6,991,684,287,829,264/38,865,938
  6. Step 6: Final answer
    x = 179,892,333.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.