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Finding the Third Proportional to 35,099,240 and 78,264,194

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Solution

The third proportional to 35,099,240 and 78,264,194 is: 174,513,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,099,240 : 78,264,194 = 78,264,194 : x
  2. Step 2: Convert to fraction form
    35,099,240/78,264,194 = 78,264,194/x
  3. Step 3: Cross multiply
    35,099,240x = 78,264,194 × 78,264,194
  4. Step 4: Simplify right side
    35,099,240x = 6,125,284,062,469,636
  5. Step 5: Solve for x
    x = 6,125,284,062,469,636/35,099,240
  6. Step 6: Final answer
    x = 174,513,296.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.