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Finding the Third Proportional to 2,807,470.13 and 5,747,697.98

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Solution

The third proportional to 2,807,470.13 and 5,747,697.98 is: 11,767,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,470.13 : 5,747,697.98 = 5,747,697.98 : x
  2. Step 2: Convert to fraction form
    2,807,470.13/5,747,697.98 = 5,747,697.98/x
  3. Step 3: Cross multiply
    2,807,470.13x = 5,747,697.98 × 5,747,697.98
  4. Step 4: Simplify right side
    2,807,470.13x = 33,036,032,119,588.44
  5. Step 5: Solve for x
    x = 33,036,032,119,588.44/2,807,470.13
  6. Step 6: Final answer
    x = 11,767,189.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.