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Finding the Third Proportional to 2,708,729.86 and 5,641,661.39

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Solution

The third proportional to 2,708,729.86 and 5,641,661.39 is: 11,750,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,729.86 : 5,641,661.39 = 5,641,661.39 : x
  2. Step 2: Convert to fraction form
    2,708,729.86/5,641,661.39 = 5,641,661.39/x
  3. Step 3: Cross multiply
    2,708,729.86x = 5,641,661.39 × 5,641,661.39
  4. Step 4: Simplify right side
    2,708,729.86x = 31,828,343,246,468.81
  5. Step 5: Solve for x
    x = 31,828,343,246,468.81/2,708,729.86
  6. Step 6: Final answer
    x = 11,750,283.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.