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Finding the Third Proportional to 8,020,407.38 and 17,319,214.13

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Solution

The third proportional to 8,020,407.38 and 17,319,214.13 is: 37,398,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,407.38 : 17,319,214.13 = 17,319,214.13 : x
  2. Step 2: Convert to fraction form
    8,020,407.38/17,319,214.13 = 17,319,214.13/x
  3. Step 3: Cross multiply
    8,020,407.38x = 17,319,214.13 × 17,319,214.13
  4. Step 4: Simplify right side
    8,020,407.38x = 299,955,177,907,599.50
  5. Step 5: Solve for x
    x = 299,955,177,907,599.50/8,020,407.38
  6. Step 6: Final answer
    x = 37,398,995.32

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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.