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Finding the Third Proportional to 4,143,468 and 9,767,211

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Solution

The third proportional to 4,143,468 and 9,767,211 is: 23,023,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143,468 : 9,767,211 = 9,767,211 : x
  2. Step 2: Convert to fraction form
    4,143,468/9,767,211 = 9,767,211/x
  3. Step 3: Cross multiply
    4,143,468x = 9,767,211 × 9,767,211
  4. Step 4: Simplify right side
    4,143,468x = 95,398,410,718,521
  5. Step 5: Solve for x
    x = 95,398,410,718,521/4,143,468
  6. Step 6: Final answer
    x = 23,023,807.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.