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Finding the Third Proportional to 7,281,426 and 9,802,203

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Solution

The third proportional to 7,281,426 and 9,802,203 is: 13,195,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281,426 : 9,802,203 = 9,802,203 : x
  2. Step 2: Convert to fraction form
    7,281,426/9,802,203 = 9,802,203/x
  3. Step 3: Cross multiply
    7,281,426x = 9,802,203 × 9,802,203
  4. Step 4: Simplify right side
    7,281,426x = 96,083,183,653,209
  5. Step 5: Solve for x
    x = 96,083,183,653,209/7,281,426
  6. Step 6: Final answer
    x = 13,195,654.76

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Why These Related Problems?

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