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Finding the Third Proportional to 4,439,321.44 and 9,742,735.69

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Solution

The third proportional to 4,439,321.44 and 9,742,735.69 is: 21,381,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439,321.44 : 9,742,735.69 = 9,742,735.69 : x
  2. Step 2: Convert to fraction form
    4,439,321.44/9,742,735.69 = 9,742,735.69/x
  3. Step 3: Cross multiply
    4,439,321.44x = 9,742,735.69 × 9,742,735.69
  4. Step 4: Simplify right side
    4,439,321.44x = 94,920,898,676,486.09
  5. Step 5: Solve for x
    x = 94,920,898,676,486.09/4,439,321.44
  6. Step 6: Final answer
    x = 21,381,848.56

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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.