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Finding the Third Proportional to 169,775,577 and 363,753,864

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Solution

The third proportional to 169,775,577 and 363,753,864 is: 779,363,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,775,577 : 363,753,864 = 363,753,864 : x
  2. Step 2: Convert to fraction form
    169,775,577/363,753,864 = 363,753,864/x
  3. Step 3: Cross multiply
    169,775,577x = 363,753,864 × 363,753,864
  4. Step 4: Simplify right side
    169,775,577x = 132,316,873,574,930,496
  5. Step 5: Solve for x
    x = 132,316,873,574,930,496/169,775,577
  6. Step 6: Final answer
    x = 779,363,415.59

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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.