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Finding the Third Proportional to 735,315,449.50 and 1,586,833,134.50

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Solution

The third proportional to 735,315,449.50 and 1,586,833,134.50 is: 3,424,434,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,315,449.50 : 1,586,833,134.50 = 1,586,833,134.50 : x
  2. Step 2: Convert to fraction form
    735,315,449.50/1,586,833,134.50 = 1,586,833,134.50/x
  3. Step 3: Cross multiply
    735,315,449.50x = 1,586,833,134.50 × 1,586,833,134.50
  4. Step 4: Simplify right side
    735,315,449.50x = 2,518,039,396,747,095,040
  5. Step 5: Solve for x
    x = 2,518,039,396,747,095,040/735,315,449.50
  6. Step 6: Final answer
    x = 3,424,434,232.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.