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Finding the Third Proportional to 1,614,470,611 and 2,527,087,453.50

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Solution

The third proportional to 1,614,470,611 and 2,527,087,453.50 is: 3,955,582,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,470,611 : 2,527,087,453.50 = 2,527,087,453.50 : x
  2. Step 2: Convert to fraction form
    1,614,470,611/2,527,087,453.50 = 2,527,087,453.50/x
  3. Step 3: Cross multiply
    1,614,470,611x = 2,527,087,453.50 × 2,527,087,453.50
  4. Step 4: Simplify right side
    1,614,470,611x = 6,386,170,997,637,114,880
  5. Step 5: Solve for x
    x = 6,386,170,997,637,114,880/1,614,470,611
  6. Step 6: Final answer
    x = 3,955,582,067.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.