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Finding the Third Proportional to 50,974,220,982 and 79,963,511,382

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Solution

The third proportional to 50,974,220,982 and 79,963,511,382 is: 125,439,153,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974,220,982 : 79,963,511,382 = 79,963,511,382 : x
  2. Step 2: Convert to fraction form
    50,974,220,982/79,963,511,382 = 79,963,511,382/x
  3. Step 3: Cross multiply
    50,974,220,982x = 79,963,511,382 × 79,963,511,382
  4. Step 4: Simplify right side
    50,974,220,982x = 6,394,163,152,539,244,036,096
  5. Step 5: Solve for x
    x = 6,394,163,152,539,244,036,096/50,974,220,982
  6. Step 6: Final answer
    x = 125,439,153,936.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.