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Finding the Third Proportional to 58,782,543 and 82,217,184

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Solution

The third proportional to 58,782,543 and 82,217,184 is: 114,994,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,782,543 : 82,217,184 = 82,217,184 : x
  2. Step 2: Convert to fraction form
    58,782,543/82,217,184 = 82,217,184/x
  3. Step 3: Cross multiply
    58,782,543x = 82,217,184 × 82,217,184
  4. Step 4: Simplify right side
    58,782,543x = 6,759,665,344,889,856
  5. Step 5: Solve for x
    x = 6,759,665,344,889,856/58,782,543
  6. Step 6: Final answer
    x = 114,994,435.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.