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Finding the Third Proportional to 35,204,757 and 56,017,689.50

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Solution

The third proportional to 35,204,757 and 56,017,689.50 is: 89,135,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,204,757 : 56,017,689.50 = 56,017,689.50 : x
  2. Step 2: Convert to fraction form
    35,204,757/56,017,689.50 = 56,017,689.50/x
  3. Step 3: Cross multiply
    35,204,757x = 56,017,689.50 × 56,017,689.50
  4. Step 4: Simplify right side
    35,204,757x = 3,137,981,536,918,410
  5. Step 5: Solve for x
    x = 3,137,981,536,918,410/35,204,757
  6. Step 6: Final answer
    x = 89,135,156.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.