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Finding the Third Proportional to 34,633,839.09 and 75,296,058.19

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Solution

The third proportional to 34,633,839.09 and 75,296,058.19 is: 163,698,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633,839.09 : 75,296,058.19 = 75,296,058.19 : x
  2. Step 2: Convert to fraction form
    34,633,839.09/75,296,058.19 = 75,296,058.19/x
  3. Step 3: Cross multiply
    34,633,839.09x = 75,296,058.19 × 75,296,058.19
  4. Step 4: Simplify right side
    34,633,839.09x = 5,669,496,378,575,386
  5. Step 5: Solve for x
    x = 5,669,496,378,575,386/34,633,839.09
  6. Step 6: Final answer
    x = 163,698,178.63

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