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Finding the Third Proportional to 26,850,618,425 and 42,120,696,644

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Solution

The third proportional to 26,850,618,425 and 42,120,696,644 is: 66,074,943,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850,618,425 : 42,120,696,644 = 42,120,696,644 : x
  2. Step 2: Convert to fraction form
    26,850,618,425/42,120,696,644 = 42,120,696,644/x
  3. Step 3: Cross multiply
    26,850,618,425x = 42,120,696,644 × 42,120,696,644
  4. Step 4: Simplify right side
    26,850,618,425x = 1,774,153,085,775,872,786,432
  5. Step 5: Solve for x
    x = 1,774,153,085,775,872,786,432/26,850,618,425
  6. Step 6: Final answer
    x = 66,074,943,142.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.