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Finding the Third Proportional to 76,813,782 and 112,304,433

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Solution

The third proportional to 76,813,782 and 112,304,433 is: 164,193,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813,782 : 112,304,433 = 112,304,433 : x
  2. Step 2: Convert to fraction form
    76,813,782/112,304,433 = 112,304,433/x
  3. Step 3: Cross multiply
    76,813,782x = 112,304,433 × 112,304,433
  4. Step 4: Simplify right side
    76,813,782x = 12,612,285,671,451,488
  5. Step 5: Solve for x
    x = 12,612,285,671,451,488/76,813,782
  6. Step 6: Final answer
    x = 164,193,004.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.