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Finding the Third Proportional to 8,459,323 and 17,882,991

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Solution

The third proportional to 8,459,323 and 17,882,991 is: 37,804,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459,323 : 17,882,991 = 17,882,991 : x
  2. Step 2: Convert to fraction form
    8,459,323/17,882,991 = 17,882,991/x
  3. Step 3: Cross multiply
    8,459,323x = 17,882,991 × 17,882,991
  4. Step 4: Simplify right side
    8,459,323x = 319,801,367,106,081
  5. Step 5: Solve for x
    x = 319,801,367,106,081/8,459,323
  6. Step 6: Final answer
    x = 37,804,605.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.