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Finding the Third Proportional to 774,785,124,266 and 1,678,494,229,484

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Solution

The third proportional to 774,785,124,266 and 1,678,494,229,484 is: 3,636,289,327,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,785,124,266 : 1,678,494,229,484 = 1,678,494,229,484 : x
  2. Step 2: Convert to fraction form
    774,785,124,266/1,678,494,229,484 = 1,678,494,229,484/x
  3. Step 3: Cross multiply
    774,785,124,266x = 1,678,494,229,484 × 1,678,494,229,484
  4. Step 4: Simplify right side
    774,785,124,266x = 2,817,342,878,411,086,905,737,216
  5. Step 5: Solve for x
    x = 2,817,342,878,411,086,905,737,216/774,785,124,266
  6. Step 6: Final answer
    x = 3,636,289,327,418.52

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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.