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Finding the Third Proportional to 4,169,646 and 9,136,454

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Solution

The third proportional to 4,169,646 and 9,136,454 is: 20,019,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,646 : 9,136,454 = 9,136,454 : x
  2. Step 2: Convert to fraction form
    4,169,646/9,136,454 = 9,136,454/x
  3. Step 3: Cross multiply
    4,169,646x = 9,136,454 × 9,136,454
  4. Step 4: Simplify right side
    4,169,646x = 83,474,791,694,116
  5. Step 5: Solve for x
    x = 83,474,791,694,116/4,169,646
  6. Step 6: Final answer
    x = 20,019,635.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.