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Finding the Third Proportional to 42,161,634 and 101,569,077

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Solution

The third proportional to 42,161,634 and 101,569,077 is: 244,684,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,161,634 : 101,569,077 = 101,569,077 : x
  2. Step 2: Convert to fraction form
    42,161,634/101,569,077 = 101,569,077/x
  3. Step 3: Cross multiply
    42,161,634x = 101,569,077 × 101,569,077
  4. Step 4: Simplify right side
    42,161,634x = 10,316,277,402,631,928
  5. Step 5: Solve for x
    x = 10,316,277,402,631,928/42,161,634
  6. Step 6: Final answer
    x = 244,684,003.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.