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Finding the Third Proportional to 35,335,923 and 76,345,398

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Solution

The third proportional to 35,335,923 and 76,345,398 is: 164,948,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,335,923 : 76,345,398 = 76,345,398 : x
  2. Step 2: Convert to fraction form
    35,335,923/76,345,398 = 76,345,398/x
  3. Step 3: Cross multiply
    35,335,923x = 76,345,398 × 76,345,398
  4. Step 4: Simplify right side
    35,335,923x = 5,828,619,795,778,404
  5. Step 5: Solve for x
    x = 5,828,619,795,778,404/35,335,923
  6. Step 6: Final answer
    x = 164,948,848.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.