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Finding the Third Proportional to 1,212,977,612 and 1,773,976,737

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Solution

The third proportional to 1,212,977,612 and 1,773,976,737 is: 2,594,436,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,977,612 : 1,773,976,737 = 1,773,976,737 : x
  2. Step 2: Convert to fraction form
    1,212,977,612/1,773,976,737 = 1,773,976,737/x
  3. Step 3: Cross multiply
    1,212,977,612x = 1,773,976,737 × 1,773,976,737
  4. Step 4: Simplify right side
    1,212,977,612x = 3,146,993,463,417,167,360
  5. Step 5: Solve for x
    x = 3,146,993,463,417,167,360/1,212,977,612
  6. Step 6: Final answer
    x = 2,594,436,560.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.