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Finding the Third Proportional to 9,606,024 and 14,607,084

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Solution

The third proportional to 9,606,024 and 14,607,084 is: 22,211,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,024 : 14,607,084 = 14,607,084 : x
  2. Step 2: Convert to fraction form
    9,606,024/14,607,084 = 14,607,084/x
  3. Step 3: Cross multiply
    9,606,024x = 14,607,084 × 14,607,084
  4. Step 4: Simplify right side
    9,606,024x = 213,366,902,983,056
  5. Step 5: Solve for x
    x = 213,366,902,983,056/9,606,024
  6. Step 6: Final answer
    x = 22,211,781.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.