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Finding the Third Proportional to 960,777,894 and 2,097,728,846

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Solution

The third proportional to 960,777,894 and 2,097,728,846 is: 4,580,107,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,777,894 : 2,097,728,846 = 2,097,728,846 : x
  2. Step 2: Convert to fraction form
    960,777,894/2,097,728,846 = 2,097,728,846/x
  3. Step 3: Cross multiply
    960,777,894x = 2,097,728,846 × 2,097,728,846
  4. Step 4: Simplify right side
    960,777,894x = 4,400,466,311,340,491,776
  5. Step 5: Solve for x
    x = 4,400,466,311,340,491,776/960,777,894
  6. Step 6: Final answer
    x = 4,580,107,784.35

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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.