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Finding the Third Proportional to 3,527,641.13 and 7,727,896.13

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Solution

The third proportional to 3,527,641.13 and 7,727,896.13 is: 16,929,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527,641.13 : 7,727,896.13 = 7,727,896.13 : x
  2. Step 2: Convert to fraction form
    3,527,641.13/7,727,896.13 = 7,727,896.13/x
  3. Step 3: Cross multiply
    3,527,641.13x = 7,727,896.13 × 7,727,896.13
  4. Step 4: Simplify right side
    3,527,641.13x = 59,720,378,518,790.02
  5. Step 5: Solve for x
    x = 59,720,378,518,790.02/3,527,641.13
  6. Step 6: Final answer
    x = 16,929,267.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.