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Finding the Third Proportional to 16,847,019 and 24,074,781.75

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Solution

The third proportional to 16,847,019 and 24,074,781.75 is: 34,403,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847,019 : 24,074,781.75 = 24,074,781.75 : x
  2. Step 2: Convert to fraction form
    16,847,019/24,074,781.75 = 24,074,781.75/x
  3. Step 3: Cross multiply
    16,847,019x = 24,074,781.75 × 24,074,781.75
  4. Step 4: Simplify right side
    16,847,019x = 579,595,116,310,133
  5. Step 5: Solve for x
    x = 579,595,116,310,133/16,847,019
  6. Step 6: Final answer
    x = 34,403,422.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.