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Finding the Third Proportional to 35,761,906.50 and 77,240,904

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Solution

The third proportional to 35,761,906.50 and 77,240,904 is: 166,829,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761,906.50 : 77,240,904 = 77,240,904 : x
  2. Step 2: Convert to fraction form
    35,761,906.50/77,240,904 = 77,240,904/x
  3. Step 3: Cross multiply
    35,761,906.50x = 77,240,904 × 77,240,904
  4. Step 4: Simplify right side
    35,761,906.50x = 5,966,157,250,737,216
  5. Step 5: Solve for x
    x = 5,966,157,250,737,216/35,761,906.50
  6. Step 6: Final answer
    x = 166,829,954.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.