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Finding the Third Proportional to 9,577,650 and 21,281,065

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Solution

The third proportional to 9,577,650 and 21,281,065 is: 47,285,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,650 : 21,281,065 = 21,281,065 : x
  2. Step 2: Convert to fraction form
    9,577,650/21,281,065 = 21,281,065/x
  3. Step 3: Cross multiply
    9,577,650x = 21,281,065 × 21,281,065
  4. Step 4: Simplify right side
    9,577,650x = 452,883,727,534,225
  5. Step 5: Solve for x
    x = 452,883,727,534,225/9,577,650
  6. Step 6: Final answer
    x = 47,285,474.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.