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Finding the Third Proportional to 1,992,153,778 and 2,977,250,823

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Solution

The third proportional to 1,992,153,778 and 2,977,250,823 is: 4,449,466,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,153,778 : 2,977,250,823 = 2,977,250,823 : x
  2. Step 2: Convert to fraction form
    1,992,153,778/2,977,250,823 = 2,977,250,823/x
  3. Step 3: Cross multiply
    1,992,153,778x = 2,977,250,823 × 2,977,250,823
  4. Step 4: Simplify right side
    1,992,153,778x = 8,864,022,463,054,177,280
  5. Step 5: Solve for x
    x = 8,864,022,463,054,177,280/1,992,153,778
  6. Step 6: Final answer
    x = 4,449,466,984.40

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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.