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Finding the Third Proportional to 22,935,752,399,592 and 49,142,976,670,728

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Solution

The third proportional to 22,935,752,399,592 and 49,142,976,670,728 is: 105,295,527,872,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935,752,399,592 : 49,142,976,670,728 = 49,142,976,670,728 : x
  2. Step 2: Convert to fraction form
    22,935,752,399,592/49,142,976,670,728 = 49,142,976,670,728/x
  3. Step 3: Cross multiply
    22,935,752,399,592x = 49,142,976,670,728 × 49,142,976,670,728
  4. Step 4: Simplify right side
    22,935,752,399,592x = 2,415,032,156,059,716,505,273,630,720
  5. Step 5: Solve for x
    x = 2,415,032,156,059,716,505,273,630,720/22,935,752,399,592
  6. Step 6: Final answer
    x = 105,295,527,872,138.92

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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.