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Finding the Third Proportional to 4,287,178.13 and 9,196,012.13

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Solution

The third proportional to 4,287,178.13 and 9,196,012.13 is: 19,725,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,178.13 : 9,196,012.13 = 9,196,012.13 : x
  2. Step 2: Convert to fraction form
    4,287,178.13/9,196,012.13 = 9,196,012.13/x
  3. Step 3: Cross multiply
    4,287,178.13x = 9,196,012.13 × 9,196,012.13
  4. Step 4: Simplify right side
    4,287,178.13x = 84,566,639,003,147.02
  5. Step 5: Solve for x
    x = 84,566,639,003,147.02/4,287,178.13
  6. Step 6: Final answer
    x = 19,725,478.28

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