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Finding the Third Proportional to 8,896,729 and 19,424,475

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Solution

The third proportional to 8,896,729 and 19,424,475 is: 42,409,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,729 : 19,424,475 = 19,424,475 : x
  2. Step 2: Convert to fraction form
    8,896,729/19,424,475 = 19,424,475/x
  3. Step 3: Cross multiply
    8,896,729x = 19,424,475 × 19,424,475
  4. Step 4: Simplify right side
    8,896,729x = 377,310,229,025,625
  5. Step 5: Solve for x
    x = 377,310,229,025,625/8,896,729
  6. Step 6: Final answer
    x = 42,409,994.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.