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Finding the Third Proportional to 26,850,618,429 and 42,120,696,650

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Solution

The third proportional to 26,850,618,429 and 42,120,696,650 is: 66,074,943,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850,618,429 : 42,120,696,650 = 42,120,696,650 : x
  2. Step 2: Convert to fraction form
    26,850,618,429/42,120,696,650 = 42,120,696,650/x
  3. Step 3: Cross multiply
    26,850,618,429x = 42,120,696,650 × 42,120,696,650
  4. Step 4: Simplify right side
    26,850,618,429x = 1,774,153,086,281,321,283,584
  5. Step 5: Solve for x
    x = 1,774,153,086,281,321,283,584/26,850,618,429
  6. Step 6: Final answer
    x = 66,074,943,151.59

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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.