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Finding the Third Proportional to 2,427,499.13 and 5,154,227.44

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Solution

The third proportional to 2,427,499.13 and 5,154,227.44 is: 10,943,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,499.13 : 5,154,227.44 = 5,154,227.44 : x
  2. Step 2: Convert to fraction form
    2,427,499.13/5,154,227.44 = 5,154,227.44/x
  3. Step 3: Cross multiply
    2,427,499.13x = 5,154,227.44 × 5,154,227.44
  4. Step 4: Simplify right side
    2,427,499.13x = 26,566,060,477,477.82
  5. Step 5: Solve for x
    x = 26,566,060,477,477.82/2,427,499.13
  6. Step 6: Final answer
    x = 10,943,798.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.