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Finding the Third Proportional to 35,910,688.50 and 54,243,175.50

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Solution

The third proportional to 35,910,688.50 and 54,243,175.50 is: 81,934,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,910,688.50 : 54,243,175.50 = 54,243,175.50 : x
  2. Step 2: Convert to fraction form
    35,910,688.50/54,243,175.50 = 54,243,175.50/x
  3. Step 3: Cross multiply
    35,910,688.50x = 54,243,175.50 × 54,243,175.50
  4. Step 4: Simplify right side
    35,910,688.50x = 2,942,322,088,323,800
  5. Step 5: Solve for x
    x = 2,942,322,088,323,800/35,910,688.50
  6. Step 6: Final answer
    x = 81,934,438.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.