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Finding the Third Proportional to 447,762,105 and 968,867,442

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Solution

The third proportional to 447,762,105 and 968,867,442 is: 2,096,434,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,762,105 : 968,867,442 = 968,867,442 : x
  2. Step 2: Convert to fraction form
    447,762,105/968,867,442 = 968,867,442/x
  3. Step 3: Cross multiply
    447,762,105x = 968,867,442 × 968,867,442
  4. Step 4: Simplify right side
    447,762,105x = 938,704,120,167,623,424
  5. Step 5: Solve for x
    x = 938,704,120,167,623,424/447,762,105
  6. Step 6: Final answer
    x = 2,096,434,936.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.