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Finding the Third Proportional to 4,439,327 and 9,742,747

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Solution

The third proportional to 4,439,327 and 9,742,747 is: 21,381,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439,327 : 9,742,747 = 9,742,747 : x
  2. Step 2: Convert to fraction form
    4,439,327/9,742,747 = 9,742,747/x
  3. Step 3: Cross multiply
    4,439,327x = 9,742,747 × 9,742,747
  4. Step 4: Simplify right side
    4,439,327x = 94,921,119,106,009
  5. Step 5: Solve for x
    x = 94,921,119,106,009/4,439,327
  6. Step 6: Final answer
    x = 21,381,871.42

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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.