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Finding the Third Proportional to 2,442,642 and 5,209,905

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Solution

The third proportional to 2,442,642 and 5,209,905 is: 11,112,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,642 : 5,209,905 = 5,209,905 : x
  2. Step 2: Convert to fraction form
    2,442,642/5,209,905 = 5,209,905/x
  3. Step 3: Cross multiply
    2,442,642x = 5,209,905 × 5,209,905
  4. Step 4: Simplify right side
    2,442,642x = 27,143,110,109,025
  5. Step 5: Solve for x
    x = 27,143,110,109,025/2,442,642
  6. Step 6: Final answer
    x = 11,112,193.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.