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Finding the Third Proportional to 349,014,926 and 541,159,659

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Solution

The third proportional to 349,014,926 and 541,159,659 is: 839,086,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,014,926 : 541,159,659 = 541,159,659 : x
  2. Step 2: Convert to fraction form
    349,014,926/541,159,659 = 541,159,659/x
  3. Step 3: Cross multiply
    349,014,926x = 541,159,659 × 541,159,659
  4. Step 4: Simplify right side
    349,014,926x = 292,853,776,528,996,288
  5. Step 5: Solve for x
    x = 292,853,776,528,996,288/349,014,926
  6. Step 6: Final answer
    x = 839,086,682.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.