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Finding the Third Proportional to 3,857,008.13 and 8,294,482.13

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Solution

The third proportional to 3,857,008.13 and 8,294,482.13 is: 17,837,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,008.13 : 8,294,482.13 = 8,294,482.13 : x
  2. Step 2: Convert to fraction form
    3,857,008.13/8,294,482.13 = 8,294,482.13/x
  3. Step 3: Cross multiply
    3,857,008.13x = 8,294,482.13 × 8,294,482.13
  4. Step 4: Simplify right side
    3,857,008.13x = 68,798,433,721,944.52
  5. Step 5: Solve for x
    x = 68,798,433,721,944.52/3,857,008.13
  6. Step 6: Final answer
    x = 17,837,254.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.