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Finding the Third Proportional to 4,219,648 and 9,299,840

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Solution

The third proportional to 4,219,648 and 9,299,840 is: 20,496,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219,648 : 9,299,840 = 9,299,840 : x
  2. Step 2: Convert to fraction form
    4,219,648/9,299,840 = 9,299,840/x
  3. Step 3: Cross multiply
    4,219,648x = 9,299,840 × 9,299,840
  4. Step 4: Simplify right side
    4,219,648x = 86,487,024,025,600
  5. Step 5: Solve for x
    x = 86,487,024,025,600/4,219,648
  6. Step 6: Final answer
    x = 20,496,265.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.