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Finding the Third Proportional to 24,087,242 and 34,337,253

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Solution

The third proportional to 24,087,242 and 34,337,253 is: 48,949,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,087,242 : 34,337,253 = 34,337,253 : x
  2. Step 2: Convert to fraction form
    24,087,242/34,337,253 = 34,337,253/x
  3. Step 3: Cross multiply
    24,087,242x = 34,337,253 × 34,337,253
  4. Step 4: Simplify right side
    24,087,242x = 1,179,046,943,586,009
  5. Step 5: Solve for x
    x = 1,179,046,943,586,009/24,087,242
  6. Step 6: Final answer
    x = 48,949,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.