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Finding the Third Proportional to 292,508,812,350 and 411,916,864,941

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Solution

The third proportional to 292,508,812,350 and 411,916,864,941 is: 580,069,715,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,508,812,350 : 411,916,864,941 = 411,916,864,941 : x
  2. Step 2: Convert to fraction form
    292,508,812,350/411,916,864,941 = 411,916,864,941/x
  3. Step 3: Cross multiply
    292,508,812,350x = 411,916,864,941 × 411,916,864,941
  4. Step 4: Simplify right side
    292,508,812,350x = 169,675,503,622,822,027,067,392
  5. Step 5: Solve for x
    x = 169,675,503,622,822,027,067,392/292,508,812,350
  6. Step 6: Final answer
    x = 580,069,715,710.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.