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Finding the Third Proportional to 396,153,314 and 868,834,276

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Solution

The third proportional to 396,153,314 and 868,834,276 is: 1,905,507,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,153,314 : 868,834,276 = 868,834,276 : x
  2. Step 2: Convert to fraction form
    396,153,314/868,834,276 = 868,834,276/x
  3. Step 3: Cross multiply
    396,153,314x = 868,834,276 × 868,834,276
  4. Step 4: Simplify right side
    396,153,314x = 754,872,999,152,444,160
  5. Step 5: Solve for x
    x = 754,872,999,152,444,160/396,153,314
  6. Step 6: Final answer
    x = 1,905,507,217.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.