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Finding the Third Proportional to 1,582,723,614 and 2,328,049,342.50

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Solution

The third proportional to 1,582,723,614 and 2,328,049,342.50 is: 3,424,358,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,723,614 : 2,328,049,342.50 = 2,328,049,342.50 : x
  2. Step 2: Convert to fraction form
    1,582,723,614/2,328,049,342.50 = 2,328,049,342.50/x
  3. Step 3: Cross multiply
    1,582,723,614x = 2,328,049,342.50 × 2,328,049,342.50
  4. Step 4: Simplify right side
    1,582,723,614x = 5,419,813,741,114,682,368
  5. Step 5: Solve for x
    x = 5,419,813,741,114,682,368/1,582,723,614
  6. Step 6: Final answer
    x = 3,424,358,929.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.