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Finding the Third Proportional to 36,513,538 and 77,101,458

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Solution

The third proportional to 36,513,538 and 77,101,458 is: 162,806,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513,538 : 77,101,458 = 77,101,458 : x
  2. Step 2: Convert to fraction form
    36,513,538/77,101,458 = 77,101,458/x
  3. Step 3: Cross multiply
    36,513,538x = 77,101,458 × 77,101,458
  4. Step 4: Simplify right side
    36,513,538x = 5,944,634,825,725,764
  5. Step 5: Solve for x
    x = 5,944,634,825,725,764/36,513,538
  6. Step 6: Final answer
    x = 162,806,322.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.