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Finding the Third Proportional to 7,342,216 and 15,747,284

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Solution

The third proportional to 7,342,216 and 15,747,284 is: 33,774,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342,216 : 15,747,284 = 15,747,284 : x
  2. Step 2: Convert to fraction form
    7,342,216/15,747,284 = 15,747,284/x
  3. Step 3: Cross multiply
    7,342,216x = 15,747,284 × 15,747,284
  4. Step 4: Simplify right side
    7,342,216x = 247,976,953,376,656
  5. Step 5: Solve for x
    x = 247,976,953,376,656/7,342,216
  6. Step 6: Final answer
    x = 33,774,129.41

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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.