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Finding the Third Proportional to 2,361,417 and 5,051,110

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Solution

The third proportional to 2,361,417 and 5,051,110 is: 10,804,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,417 : 5,051,110 = 5,051,110 : x
  2. Step 2: Convert to fraction form
    2,361,417/5,051,110 = 5,051,110/x
  3. Step 3: Cross multiply
    2,361,417x = 5,051,110 × 5,051,110
  4. Step 4: Simplify right side
    2,361,417x = 25,513,712,232,100
  5. Step 5: Solve for x
    x = 25,513,712,232,100/2,361,417
  6. Step 6: Final answer
    x = 10,804,407.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.