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Finding the Third Proportional to 6,437,574 and 9,023,564

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Solution

The third proportional to 6,437,574 and 9,023,564 is: 12,648,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437,574 : 9,023,564 = 9,023,564 : x
  2. Step 2: Convert to fraction form
    6,437,574/9,023,564 = 9,023,564/x
  3. Step 3: Cross multiply
    6,437,574x = 9,023,564 × 9,023,564
  4. Step 4: Simplify right side
    6,437,574x = 81,424,707,262,096
  5. Step 5: Solve for x
    x = 81,424,707,262,096/6,437,574
  6. Step 6: Final answer
    x = 12,648,352.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.