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Finding the Third Proportional to 4,657,184 and 10,022,608

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Solution

The third proportional to 4,657,184 and 10,022,608 is: 21,569,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,184 : 10,022,608 = 10,022,608 : x
  2. Step 2: Convert to fraction form
    4,657,184/10,022,608 = 10,022,608/x
  3. Step 3: Cross multiply
    4,657,184x = 10,022,608 × 10,022,608
  4. Step 4: Simplify right side
    4,657,184x = 100,452,671,121,664
  5. Step 5: Solve for x
    x = 100,452,671,121,664/4,657,184
  6. Step 6: Final answer
    x = 21,569,401.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.