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Finding the Third Proportional to 960,777,896 and 2,097,728,850

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Solution

The third proportional to 960,777,896 and 2,097,728,850 is: 4,580,107,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,777,896 : 2,097,728,850 = 2,097,728,850 : x
  2. Step 2: Convert to fraction form
    960,777,896/2,097,728,850 = 2,097,728,850/x
  3. Step 3: Cross multiply
    960,777,896x = 2,097,728,850 × 2,097,728,850
  4. Step 4: Simplify right side
    960,777,896x = 4,400,466,328,122,322,432
  5. Step 5: Solve for x
    x = 4,400,466,328,122,322,432/960,777,896
  6. Step 6: Final answer
    x = 4,580,107,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.