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Finding the Third Proportional to 4,432,712 and 9,574,096

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Solution

The third proportional to 4,432,712 and 9,574,096 is: 20,678,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432,712 : 9,574,096 = 9,574,096 : x
  2. Step 2: Convert to fraction form
    4,432,712/9,574,096 = 9,574,096/x
  3. Step 3: Cross multiply
    4,432,712x = 9,574,096 × 9,574,096
  4. Step 4: Simplify right side
    4,432,712x = 91,663,314,217,216
  5. Step 5: Solve for x
    x = 91,663,314,217,216/4,432,712
  6. Step 6: Final answer
    x = 20,678,833.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.