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Finding the Third Proportional to 7,261,422 and 15,643,184

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Solution

The third proportional to 7,261,422 and 15,643,184 is: 33,699,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261,422 : 15,643,184 = 15,643,184 : x
  2. Step 2: Convert to fraction form
    7,261,422/15,643,184 = 15,643,184/x
  3. Step 3: Cross multiply
    7,261,422x = 15,643,184 × 15,643,184
  4. Step 4: Simplify right side
    7,261,422x = 244,709,205,657,856
  5. Step 5: Solve for x
    x = 244,709,205,657,856/7,261,422
  6. Step 6: Final answer
    x = 33,699,901.43

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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.