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Finding the Third Proportional to 427,726,533,785.25 and 917,544,562,805.75

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Solution

The third proportional to 427,726,533,785.25 and 917,544,562,805.75 is: 1,968,285,711,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,726,533,785.25 : 917,544,562,805.75 = 917,544,562,805.75 : x
  2. Step 2: Convert to fraction form
    427,726,533,785.25/917,544,562,805.75 = 917,544,562,805.75/x
  3. Step 3: Cross multiply
    427,726,533,785.25x = 917,544,562,805.75 × 917,544,562,805.75
  4. Step 4: Simplify right side
    427,726,533,785.25x = 841,888,024,734,394,962,935,808
  5. Step 5: Solve for x
    x = 841,888,024,734,394,962,935,808/427,726,533,785.25
  6. Step 6: Final answer
    x = 1,968,285,711,162.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.