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Finding the Third Proportional to 7,807,422.94 and 16,917,925.78

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Solution

The third proportional to 7,807,422.94 and 16,917,925.78 is: 36,659,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807,422.94 : 16,917,925.78 = 16,917,925.78 : x
  2. Step 2: Convert to fraction form
    7,807,422.94/16,917,925.78 = 16,917,925.78/x
  3. Step 3: Cross multiply
    7,807,422.94x = 16,917,925.78 × 16,917,925.78
  4. Step 4: Simplify right side
    7,807,422.94x = 286,216,212,739,883.44
  5. Step 5: Solve for x
    x = 286,216,212,739,883.44/7,807,422.94
  6. Step 6: Final answer
    x = 36,659,498.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.