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Finding the Third Proportional to 34,713,046 and 74,650,288

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Solution

The third proportional to 34,713,046 and 74,650,288 is: 160,535,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713,046 : 74,650,288 = 74,650,288 : x
  2. Step 2: Convert to fraction form
    34,713,046/74,650,288 = 74,650,288/x
  3. Step 3: Cross multiply
    34,713,046x = 74,650,288 × 74,650,288
  4. Step 4: Simplify right side
    34,713,046x = 5,572,665,498,482,944
  5. Step 5: Solve for x
    x = 5,572,665,498,482,944/34,713,046
  6. Step 6: Final answer
    x = 160,535,191.83

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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.