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Finding the Third Proportional to 1,366,661,340.75 and 2,041,036,400.25

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Solution

The third proportional to 1,366,661,340.75 and 2,041,036,400.25 is: 3,048,179,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,661,340.75 : 2,041,036,400.25 = 2,041,036,400.25 : x
  2. Step 2: Convert to fraction form
    1,366,661,340.75/2,041,036,400.25 = 2,041,036,400.25/x
  3. Step 3: Cross multiply
    1,366,661,340.75x = 2,041,036,400.25 × 2,041,036,400.25
  4. Step 4: Simplify right side
    1,366,661,340.75x = 4,165,829,587,145,478,144
  5. Step 5: Solve for x
    x = 4,165,829,587,145,478,144/1,366,661,340.75
  6. Step 6: Final answer
    x = 3,048,179,869.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.