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Finding the Third Proportional to 34,783,089 and 75,559,649

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Solution

The third proportional to 34,783,089 and 75,559,649 is: 164,138,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783,089 : 75,559,649 = 75,559,649 : x
  2. Step 2: Convert to fraction form
    34,783,089/75,559,649 = 75,559,649/x
  3. Step 3: Cross multiply
    34,783,089x = 75,559,649 × 75,559,649
  4. Step 4: Simplify right side
    34,783,089x = 5,709,260,557,003,201
  5. Step 5: Solve for x
    x = 5,709,260,557,003,201/34,783,089
  6. Step 6: Final answer
    x = 164,138,974.46

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Why These Related Problems?

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