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Finding the Third Proportional to 35,815,309 and 76,740,908

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Solution

The third proportional to 35,815,309 and 76,740,908 is: 164,431,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815,309 : 76,740,908 = 76,740,908 : x
  2. Step 2: Convert to fraction form
    35,815,309/76,740,908 = 76,740,908/x
  3. Step 3: Cross multiply
    35,815,309x = 76,740,908 × 76,740,908
  4. Step 4: Simplify right side
    35,815,309x = 5,889,166,960,664,464
  5. Step 5: Solve for x
    x = 5,889,166,960,664,464/35,815,309
  6. Step 6: Final answer
    x = 164,431,555.25

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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.