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Finding the Third Proportional to 2,929,120,134 and 6,417,841,074

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Solution

The third proportional to 2,929,120,134 and 6,417,841,074 is: 14,061,794,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,120,134 : 6,417,841,074 = 6,417,841,074 : x
  2. Step 2: Convert to fraction form
    2,929,120,134/6,417,841,074 = 6,417,841,074/x
  3. Step 3: Cross multiply
    2,929,120,134x = 6,417,841,074 × 6,417,841,074
  4. Step 4: Simplify right side
    2,929,120,134x = 41,188,684,051,121,471,488
  5. Step 5: Solve for x
    x = 41,188,684,051,121,471,488/2,929,120,134
  6. Step 6: Final answer
    x = 14,061,794,042.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.