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Finding the Third Proportional to 6,917,923.13 and 16,015,331.81

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Solution

The third proportional to 6,917,923.13 and 16,015,331.81 is: 37,076,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,923.13 : 16,015,331.81 = 16,015,331.81 : x
  2. Step 2: Convert to fraction form
    6,917,923.13/16,015,331.81 = 16,015,331.81/x
  3. Step 3: Cross multiply
    6,917,923.13x = 16,015,331.81 × 16,015,331.81
  4. Step 4: Simplify right side
    6,917,923.13x = 256,490,853,064,474.53
  5. Step 5: Solve for x
    x = 256,490,853,064,474.53/6,917,923.13
  6. Step 6: Final answer
    x = 37,076,279.75

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Why These Related Problems?

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