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Finding the Third Proportional to 25,885,698,928 and 55,702,998,374

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Solution

The third proportional to 25,885,698,928 and 55,702,998,374 is: 119,866,341,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885,698,928 : 55,702,998,374 = 55,702,998,374 : x
  2. Step 2: Convert to fraction form
    25,885,698,928/55,702,998,374 = 55,702,998,374/x
  3. Step 3: Cross multiply
    25,885,698,928x = 55,702,998,374 × 55,702,998,374
  4. Step 4: Simplify right side
    25,885,698,928x = 3,102,824,027,853,846,740,992
  5. Step 5: Solve for x
    x = 3,102,824,027,853,846,740,992/25,885,698,928
  6. Step 6: Final answer
    x = 119,866,341,507.11

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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.