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Finding the Third Proportional to 896,780,916.50 and 1,262,314,843.50

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Solution

The third proportional to 896,780,916.50 and 1,262,314,843.50 is: 1,776,842,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,780,916.50 : 1,262,314,843.50 = 1,262,314,843.50 : x
  2. Step 2: Convert to fraction form
    896,780,916.50/1,262,314,843.50 = 1,262,314,843.50/x
  3. Step 3: Cross multiply
    896,780,916.50x = 1,262,314,843.50 × 1,262,314,843.50
  4. Step 4: Simplify right side
    896,780,916.50x = 1,593,438,764,120,429,568
  5. Step 5: Solve for x
    x = 1,593,438,764,120,429,568/896,780,916.50
  6. Step 6: Final answer
    x = 1,776,842,855.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.