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Finding the Third Proportional to 564,759,144 and 825,464,999.25

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Solution

The third proportional to 564,759,144 and 825,464,999.25 is: 1,206,518,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,759,144 : 825,464,999.25 = 825,464,999.25 : x
  2. Step 2: Convert to fraction form
    564,759,144/825,464,999.25 = 825,464,999.25/x
  3. Step 3: Cross multiply
    564,759,144x = 825,464,999.25 × 825,464,999.25
  4. Step 4: Simplify right side
    564,759,144x = 681,392,464,986,802,560
  5. Step 5: Solve for x
    x = 681,392,464,986,802,560/564,759,144
  6. Step 6: Final answer
    x = 1,206,518,694.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.