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Finding the Third Proportional to 7,825,672 and 10,813,602

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Solution

The third proportional to 7,825,672 and 10,813,602 is: 14,942,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825,672 : 10,813,602 = 10,813,602 : x
  2. Step 2: Convert to fraction form
    7,825,672/10,813,602 = 10,813,602/x
  3. Step 3: Cross multiply
    7,825,672x = 10,813,602 × 10,813,602
  4. Step 4: Simplify right side
    7,825,672x = 116,933,988,214,404
  5. Step 5: Solve for x
    x = 116,933,988,214,404/7,825,672
  6. Step 6: Final answer
    x = 14,942,357.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.