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Finding the Third Proportional to 769,219,248 and 1,814,016,504

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Solution

The third proportional to 769,219,248 and 1,814,016,504 is: 4,277,916,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,219,248 : 1,814,016,504 = 1,814,016,504 : x
  2. Step 2: Convert to fraction form
    769,219,248/1,814,016,504 = 1,814,016,504/x
  3. Step 3: Cross multiply
    769,219,248x = 1,814,016,504 × 1,814,016,504
  4. Step 4: Simplify right side
    769,219,248x = 3,290,655,876,784,381,952
  5. Step 5: Solve for x
    x = 3,290,655,876,784,381,952/769,219,248
  6. Step 6: Final answer
    x = 4,277,916,712.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.