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Finding the Third Proportional to 14,714,344.83 and 34,368,410.74

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Solution

The third proportional to 14,714,344.83 and 34,368,410.74 is: 80,274,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714,344.83 : 34,368,410.74 = 34,368,410.74 : x
  2. Step 2: Convert to fraction form
    14,714,344.83/34,368,410.74 = 34,368,410.74/x
  3. Step 3: Cross multiply
    14,714,344.83x = 34,368,410.74 × 34,368,410.74
  4. Step 4: Simplify right side
    14,714,344.83x = 1,181,187,656,943,743.50
  5. Step 5: Solve for x
    x = 1,181,187,656,943,743.50/14,714,344.83
  6. Step 6: Final answer
    x = 80,274,566.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.