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Finding the Third Proportional to 8,945,002.13 and 19,647,275.63

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Solution

The third proportional to 8,945,002.13 and 19,647,275.63 is: 43,154,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945,002.13 : 19,647,275.63 = 19,647,275.63 : x
  2. Step 2: Convert to fraction form
    8,945,002.13/19,647,275.63 = 19,647,275.63/x
  3. Step 3: Cross multiply
    8,945,002.13x = 19,647,275.63 × 19,647,275.63
  4. Step 4: Simplify right side
    8,945,002.13x = 386,015,439,484,719.12
  5. Step 5: Solve for x
    x = 386,015,439,484,719.12/8,945,002.13
  6. Step 6: Final answer
    x = 43,154,315.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.