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Finding the Third Proportional to 1,873,758,991 and 2,910,709,495

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Solution

The third proportional to 1,873,758,991 and 2,910,709,495 is: 4,521,515,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,758,991 : 2,910,709,495 = 2,910,709,495 : x
  2. Step 2: Convert to fraction form
    1,873,758,991/2,910,709,495 = 2,910,709,495/x
  3. Step 3: Cross multiply
    1,873,758,991x = 2,910,709,495 × 2,910,709,495
  4. Step 4: Simplify right side
    1,873,758,991x = 8,472,229,764,283,155,456
  5. Step 5: Solve for x
    x = 8,472,229,764,283,155,456/1,873,758,991
  6. Step 6: Final answer
    x = 4,521,515,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.