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Finding the Third Proportional to 2,077,896,452 and 3,220,167,391

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Solution

The third proportional to 2,077,896,452 and 3,220,167,391 is: 4,990,372,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,896,452 : 3,220,167,391 = 3,220,167,391 : x
  2. Step 2: Convert to fraction form
    2,077,896,452/3,220,167,391 = 3,220,167,391/x
  3. Step 3: Cross multiply
    2,077,896,452x = 3,220,167,391 × 3,220,167,391
  4. Step 4: Simplify right side
    2,077,896,452x = 10,369,478,026,059,747,328
  5. Step 5: Solve for x
    x = 10,369,478,026,059,747,328/2,077,896,452
  6. Step 6: Final answer
    x = 4,990,372,843.69

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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.