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Finding the Third Proportional to 61,738,032 and 134,104,416

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Solution

The third proportional to 61,738,032 and 134,104,416 is: 291,295,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,738,032 : 134,104,416 = 134,104,416 : x
  2. Step 2: Convert to fraction form
    61,738,032/134,104,416 = 134,104,416/x
  3. Step 3: Cross multiply
    61,738,032x = 134,104,416 × 134,104,416
  4. Step 4: Simplify right side
    61,738,032x = 17,983,994,390,701,056
  5. Step 5: Solve for x
    x = 17,983,994,390,701,056/61,738,032
  6. Step 6: Final answer
    x = 291,295,232.58

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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.