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Finding the Third Proportional to 4,787,998 and 10,638,864

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Solution

The third proportional to 4,787,998 and 10,638,864 is: 23,639,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,998 : 10,638,864 = 10,638,864 : x
  2. Step 2: Convert to fraction form
    4,787,998/10,638,864 = 10,638,864/x
  3. Step 3: Cross multiply
    4,787,998x = 10,638,864 × 10,638,864
  4. Step 4: Simplify right side
    4,787,998x = 113,185,427,210,496
  5. Step 5: Solve for x
    x = 113,185,427,210,496/4,787,998
  6. Step 6: Final answer
    x = 23,639,405.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.