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Finding the Third Proportional to 22,974,384,694.50 and 49,176,124,372.50

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Solution

The third proportional to 22,974,384,694.50 and 49,176,124,372.50 is: 105,260,325,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974,384,694.50 : 49,176,124,372.50 = 49,176,124,372.50 : x
  2. Step 2: Convert to fraction form
    22,974,384,694.50/49,176,124,372.50 = 49,176,124,372.50/x
  3. Step 3: Cross multiply
    22,974,384,694.50x = 49,176,124,372.50 × 49,176,124,372.50
  4. Step 4: Simplify right side
    22,974,384,694.50x = 2,418,291,208,299,588,616,192
  5. Step 5: Solve for x
    x = 2,418,291,208,299,588,616,192/22,974,384,694.50
  6. Step 6: Final answer
    x = 105,260,325,377.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.