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Finding the Third Proportional to 42,534,115 and 91,120,813

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Solution

The third proportional to 42,534,115 and 91,120,813 is: 195,208,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534,115 : 91,120,813 = 91,120,813 : x
  2. Step 2: Convert to fraction form
    42,534,115/91,120,813 = 91,120,813/x
  3. Step 3: Cross multiply
    42,534,115x = 91,120,813 × 91,120,813
  4. Step 4: Simplify right side
    42,534,115x = 8,303,002,561,780,969
  5. Step 5: Solve for x
    x = 8,303,002,561,780,969/42,534,115
  6. Step 6: Final answer
    x = 195,208,071.49

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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.