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Finding the Third Proportional to 26,850,618,414 and 42,120,696,627

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Solution

The third proportional to 26,850,618,414 and 42,120,696,627 is: 66,074,943,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850,618,414 : 42,120,696,627 = 42,120,696,627 : x
  2. Step 2: Convert to fraction form
    26,850,618,414/42,120,696,627 = 42,120,696,627/x
  3. Step 3: Cross multiply
    26,850,618,414x = 42,120,696,627 × 42,120,696,627
  4. Step 4: Simplify right side
    26,850,618,414x = 1,774,153,084,343,769,104,384
  5. Step 5: Solve for x
    x = 1,774,153,084,343,769,104,384/26,850,618,414
  6. Step 6: Final answer
    x = 66,074,943,116.35

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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.