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Finding the Third Proportional to 8,020,405.13 and 17,319,210.75

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Solution

The third proportional to 8,020,405.13 and 17,319,210.75 is: 37,398,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,405.13 : 17,319,210.75 = 17,319,210.75 : x
  2. Step 2: Convert to fraction form
    8,020,405.13/17,319,210.75 = 17,319,210.75/x
  3. Step 3: Cross multiply
    8,020,405.13x = 17,319,210.75 × 17,319,210.75
  4. Step 4: Simplify right side
    8,020,405.13x = 299,955,061,002,915.56
  5. Step 5: Solve for x
    x = 299,955,061,002,915.56/8,020,405.13
  6. Step 6: Final answer
    x = 37,398,991.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.