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Finding the Third Proportional to 22,181,586,316 and 49,322,658,780

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Solution

The third proportional to 22,181,586,316 and 49,322,658,780 is: 109,673,160,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181,586,316 : 49,322,658,780 = 49,322,658,780 : x
  2. Step 2: Convert to fraction form
    22,181,586,316/49,322,658,780 = 49,322,658,780/x
  3. Step 3: Cross multiply
    22,181,586,316x = 49,322,658,780 × 49,322,658,780
  4. Step 4: Simplify right side
    22,181,586,316x = 2,432,724,669,128,311,308,288
  5. Step 5: Solve for x
    x = 2,432,724,669,128,311,308,288/22,181,586,316
  6. Step 6: Final answer
    x = 109,673,160,182.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.