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Finding the Third Proportional to 7,281,424 and 9,802,200

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Solution

The third proportional to 7,281,424 and 9,802,200 is: 13,195,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281,424 : 9,802,200 = 9,802,200 : x
  2. Step 2: Convert to fraction form
    7,281,424/9,802,200 = 9,802,200/x
  3. Step 3: Cross multiply
    7,281,424x = 9,802,200 × 9,802,200
  4. Step 4: Simplify right side
    7,281,424x = 96,083,124,840,000
  5. Step 5: Solve for x
    x = 96,083,124,840,000/7,281,424
  6. Step 6: Final answer
    x = 13,195,650.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.