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Finding the Third Proportional to 21,839,974,842 and 47,053,747,590

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Solution

The third proportional to 21,839,974,842 and 47,053,747,590 is: 101,376,268,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839,974,842 : 47,053,747,590 = 47,053,747,590 : x
  2. Step 2: Convert to fraction form
    21,839,974,842/47,053,747,590 = 47,053,747,590/x
  3. Step 3: Cross multiply
    21,839,974,842x = 47,053,747,590 × 47,053,747,590
  4. Step 4: Simplify right side
    21,839,974,842x = 2,214,055,162,263,430,758,400
  5. Step 5: Solve for x
    x = 2,214,055,162,263,430,758,400/21,839,974,842
  6. Step 6: Final answer
    x = 101,376,268,895.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.