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Finding the Third Proportional to 35,495,113.50 and 54,524,857.50

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Solution

The third proportional to 35,495,113.50 and 54,524,857.50 is: 83,756,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,495,113.50 : 54,524,857.50 = 54,524,857.50 : x
  2. Step 2: Convert to fraction form
    35,495,113.50/54,524,857.50 = 54,524,857.50/x
  3. Step 3: Cross multiply
    35,495,113.50x = 54,524,857.50 × 54,524,857.50
  4. Step 4: Simplify right side
    35,495,113.50x = 2,972,960,085,395,306
  5. Step 5: Solve for x
    x = 2,972,960,085,395,306/35,495,113.50
  6. Step 6: Final answer
    x = 83,756,883.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.