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Finding the Third Proportional to 56,584,219 and 85,156,631

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Solution

The third proportional to 56,584,219 and 85,156,631 is: 128,156,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,584,219 : 85,156,631 = 85,156,631 : x
  2. Step 2: Convert to fraction form
    56,584,219/85,156,631 = 85,156,631/x
  3. Step 3: Cross multiply
    56,584,219x = 85,156,631 × 85,156,631
  4. Step 4: Simplify right side
    56,584,219x = 7,251,651,803,270,161
  5. Step 5: Solve for x
    x = 7,251,651,803,270,161/56,584,219
  6. Step 6: Final answer
    x = 128,156,788.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.