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Finding the Third Proportional to 960,777,918 and 2,097,728,892

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Solution

The third proportional to 960,777,918 and 2,097,728,892 is: 4,580,107,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,777,918 : 2,097,728,892 = 2,097,728,892 : x
  2. Step 2: Convert to fraction form
    960,777,918/2,097,728,892 = 2,097,728,892/x
  3. Step 3: Cross multiply
    960,777,918x = 2,097,728,892 × 2,097,728,892
  4. Step 4: Simplify right side
    960,777,918x = 4,400,466,504,331,547,648
  5. Step 5: Solve for x
    x = 4,400,466,504,331,547,648/960,777,918
  6. Step 6: Final answer
    x = 4,580,107,870.81

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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.