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Finding the Third Proportional to 59,873,478 and 83,418,831

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Solution

The third proportional to 59,873,478 and 83,418,831 is: 116,223,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,873,478 : 83,418,831 = 83,418,831 : x
  2. Step 2: Convert to fraction form
    59,873,478/83,418,831 = 83,418,831/x
  3. Step 3: Cross multiply
    59,873,478x = 83,418,831 × 83,418,831
  4. Step 4: Simplify right side
    59,873,478x = 6,958,701,365,406,561
  5. Step 5: Solve for x
    x = 6,958,701,365,406,561/59,873,478
  6. Step 6: Final answer
    x = 116,223,436.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.