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Finding the Third Proportional to 9,770,820 and 13,026,282

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Solution

The third proportional to 9,770,820 and 13,026,282 is: 17,366,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,820 : 13,026,282 = 13,026,282 : x
  2. Step 2: Convert to fraction form
    9,770,820/13,026,282 = 13,026,282/x
  3. Step 3: Cross multiply
    9,770,820x = 13,026,282 × 13,026,282
  4. Step 4: Simplify right side
    9,770,820x = 169,684,022,743,524
  5. Step 5: Solve for x
    x = 169,684,022,743,524/9,770,820
  6. Step 6: Final answer
    x = 17,366,405.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.