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Finding the Third Proportional to 2,359,509.12 and 5,169,209.91

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Solution

The third proportional to 2,359,509.12 and 5,169,209.91 is: 11,324,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,509.12 : 5,169,209.91 = 5,169,209.91 : x
  2. Step 2: Convert to fraction form
    2,359,509.12/5,169,209.91 = 5,169,209.91/x
  3. Step 3: Cross multiply
    2,359,509.12x = 5,169,209.91 × 5,169,209.91
  4. Step 4: Simplify right side
    2,359,509.12x = 26,720,731,054,873.13
  5. Step 5: Solve for x
    x = 26,720,731,054,873.13/2,359,509.12
  6. Step 6: Final answer
    x = 11,324,699.22

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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.