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Finding the Third Proportional to 42,822,573,504 and 92,760,933,504

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Solution

The third proportional to 42,822,573,504 and 92,760,933,504 is: 200,935,863,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822,573,504 : 92,760,933,504 = 92,760,933,504 : x
  2. Step 2: Convert to fraction form
    42,822,573,504/92,760,933,504 = 92,760,933,504/x
  3. Step 3: Cross multiply
    42,822,573,504x = 92,760,933,504 × 92,760,933,504
  4. Step 4: Simplify right side
    42,822,573,504x = 8,604,590,784,533,509,439,488
  5. Step 5: Solve for x
    x = 8,604,590,784,533,509,439,488/42,822,573,504
  6. Step 6: Final answer
    x = 200,935,863,505.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.