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Finding the Third Proportional to 38,498,792 and 85,605,292

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Solution

The third proportional to 38,498,792 and 85,605,292 is: 190,350,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498,792 : 85,605,292 = 85,605,292 : x
  2. Step 2: Convert to fraction form
    38,498,792/85,605,292 = 85,605,292/x
  3. Step 3: Cross multiply
    38,498,792x = 85,605,292 × 85,605,292
  4. Step 4: Simplify right side
    38,498,792x = 7,328,266,018,405,264
  5. Step 5: Solve for x
    x = 7,328,266,018,405,264/38,498,792
  6. Step 6: Final answer
    x = 190,350,544.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.