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Finding the Third Proportional to 50,029,822,875 and 76,216,974,507

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Solution

The third proportional to 50,029,822,875 and 76,216,974,507 is: 116,111,288,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,029,822,875 : 76,216,974,507 = 76,216,974,507 : x
  2. Step 2: Convert to fraction form
    50,029,822,875/76,216,974,507 = 76,216,974,507/x
  3. Step 3: Cross multiply
    50,029,822,875x = 76,216,974,507 × 76,216,974,507
  4. Step 4: Simplify right side
    50,029,822,875x = 5,809,027,203,000,687,394,816
  5. Step 5: Solve for x
    x = 5,809,027,203,000,687,394,816/50,029,822,875
  6. Step 6: Final answer
    x = 116,111,288,611.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.