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Finding the Third Proportional to 35,146,605 and 76,338,348

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Solution

The third proportional to 35,146,605 and 76,338,348 is: 165,806,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,146,605 : 76,338,348 = 76,338,348 : x
  2. Step 2: Convert to fraction form
    35,146,605/76,338,348 = 76,338,348/x
  3. Step 3: Cross multiply
    35,146,605x = 76,338,348 × 76,338,348
  4. Step 4: Simplify right side
    35,146,605x = 5,827,543,375,369,104
  5. Step 5: Solve for x
    x = 5,827,543,375,369,104/35,146,605
  6. Step 6: Final answer
    x = 165,806,722.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.