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Finding the Third Proportional to 4,439,325 and 9,742,743

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Solution

The third proportional to 4,439,325 and 9,742,743 is: 21,381,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439,325 : 9,742,743 = 9,742,743 : x
  2. Step 2: Convert to fraction form
    4,439,325/9,742,743 = 9,742,743/x
  3. Step 3: Cross multiply
    4,439,325x = 9,742,743 × 9,742,743
  4. Step 4: Simplify right side
    4,439,325x = 94,921,041,164,049
  5. Step 5: Solve for x
    x = 94,921,041,164,049/4,439,325
  6. Step 6: Final answer
    x = 21,381,863.50

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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.