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Finding the Third Proportional to 774,785,124,264 and 1,678,494,229,480

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Solution

The third proportional to 774,785,124,264 and 1,678,494,229,480 is: 3,636,289,327,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,785,124,264 : 1,678,494,229,480 = 1,678,494,229,480 : x
  2. Step 2: Convert to fraction form
    774,785,124,264/1,678,494,229,480 = 1,678,494,229,480/x
  3. Step 3: Cross multiply
    774,785,124,264x = 1,678,494,229,480 × 1,678,494,229,480
  4. Step 4: Simplify right side
    774,785,124,264x = 2,817,342,878,397,658,690,486,272
  5. Step 5: Solve for x
    x = 2,817,342,878,397,658,690,486,272/774,785,124,264
  6. Step 6: Final answer
    x = 3,636,289,327,410.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.