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Finding the Third Proportional to 654,572,277.98 and 1,454,427,222.26

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Solution

The third proportional to 654,572,277.98 and 1,454,427,222.26 is: 3,231,665,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,572,277.98 : 1,454,427,222.26 = 1,454,427,222.26 : x
  2. Step 2: Convert to fraction form
    654,572,277.98/1,454,427,222.26 = 1,454,427,222.26/x
  3. Step 3: Cross multiply
    654,572,277.98x = 1,454,427,222.26 × 1,454,427,222.26
  4. Step 4: Simplify right side
    654,572,277.98x = 2,115,358,544,844,830,720
  5. Step 5: Solve for x
    x = 2,115,358,544,844,830,720/654,572,277.98
  6. Step 6: Final answer
    x = 3,231,665,342.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.