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Finding the Third Proportional to 4,657,968 and 10,184,868

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Solution

The third proportional to 4,657,968 and 10,184,868 is: 22,269,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,968 : 10,184,868 = 10,184,868 : x
  2. Step 2: Convert to fraction form
    4,657,968/10,184,868 = 10,184,868/x
  3. Step 3: Cross multiply
    4,657,968x = 10,184,868 × 10,184,868
  4. Step 4: Simplify right side
    4,657,968x = 103,731,536,177,424
  5. Step 5: Solve for x
    x = 103,731,536,177,424/4,657,968
  6. Step 6: Final answer
    x = 22,269,697.04

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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.