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Finding the Third Proportional to 349,014,924 and 541,159,656

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Solution

The third proportional to 349,014,924 and 541,159,656 is: 839,086,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,014,924 : 541,159,656 = 541,159,656 : x
  2. Step 2: Convert to fraction form
    349,014,924/541,159,656 = 541,159,656/x
  3. Step 3: Cross multiply
    349,014,924x = 541,159,656 × 541,159,656
  4. Step 4: Simplify right side
    349,014,924x = 292,853,773,282,038,336
  5. Step 5: Solve for x
    x = 292,853,773,282,038,336/349,014,924
  6. Step 6: Final answer
    x = 839,086,678.37

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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.