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Finding the Third Proportional to 6,917,924.81 and 16,015,336.03

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Solution

The third proportional to 6,917,924.81 and 16,015,336.03 is: 37,076,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,924.81 : 16,015,336.03 = 16,015,336.03 : x
  2. Step 2: Convert to fraction form
    6,917,924.81/16,015,336.03 = 16,015,336.03/x
  3. Step 3: Cross multiply
    6,917,924.81x = 16,015,336.03 × 16,015,336.03
  4. Step 4: Simplify right side
    6,917,924.81x = 256,490,988,193,854.50
  5. Step 5: Solve for x
    x = 256,490,988,193,854.50/6,917,924.81
  6. Step 6: Final answer
    x = 37,076,290.24

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.