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Finding the Third Proportional to 1,992,153,735 and 2,977,250,762.25

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Solution

The third proportional to 1,992,153,735 and 2,977,250,762.25 is: 4,449,466,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,153,735 : 2,977,250,762.25 = 2,977,250,762.25 : x
  2. Step 2: Convert to fraction form
    1,992,153,735/2,977,250,762.25 = 2,977,250,762.25/x
  3. Step 3: Cross multiply
    1,992,153,735x = 2,977,250,762.25 × 2,977,250,762.25
  4. Step 4: Simplify right side
    1,992,153,735x = 8,864,022,101,318,206,464
  5. Step 5: Solve for x
    x = 8,864,022,101,318,206,464/1,992,153,735
  6. Step 6: Final answer
    x = 4,449,466,898.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.