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Finding the Third Proportional to 2,169,603 and 4,665,712.50

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Solution

The third proportional to 2,169,603 and 4,665,712.50 is: 10,033,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,603 : 4,665,712.50 = 4,665,712.50 : x
  2. Step 2: Convert to fraction form
    2,169,603/4,665,712.50 = 4,665,712.50/x
  3. Step 3: Cross multiply
    2,169,603x = 4,665,712.50 × 4,665,712.50
  4. Step 4: Simplify right side
    2,169,603x = 21,768,873,132,656.25
  5. Step 5: Solve for x
    x = 21,768,873,132,656.25/2,169,603
  6. Step 6: Final answer
    x = 10,033,574.41

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Why These Related Problems?

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