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Finding the Third Proportional to 6,292,259 and 9,947,917

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Solution

The third proportional to 6,292,259 and 9,947,917 is: 15,727,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292,259 : 9,947,917 = 9,947,917 : x
  2. Step 2: Convert to fraction form
    6,292,259/9,947,917 = 9,947,917/x
  3. Step 3: Cross multiply
    6,292,259x = 9,947,917 × 9,947,917
  4. Step 4: Simplify right side
    6,292,259x = 98,961,052,638,889
  5. Step 5: Solve for x
    x = 98,961,052,638,889/6,292,259
  6. Step 6: Final answer
    x = 15,727,428.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.