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Finding the Third Proportional to 34,044,093 and 72,870,423.75

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Solution

The third proportional to 34,044,093 and 72,870,423.75 is: 155,977,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044,093 : 72,870,423.75 = 72,870,423.75 : x
  2. Step 2: Convert to fraction form
    34,044,093/72,870,423.75 = 72,870,423.75/x
  3. Step 3: Cross multiply
    34,044,093x = 72,870,423.75 × 72,870,423.75
  4. Step 4: Simplify right side
    34,044,093x = 5,310,098,657,504,564
  5. Step 5: Solve for x
    x = 5,310,098,657,504,564/34,044,093
  6. Step 6: Final answer
    x = 155,977,092.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.