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Finding the Third Proportional to 36,266,498 and 78,913,156

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Solution

The third proportional to 36,266,498 and 78,913,156 is: 171,709,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266,498 : 78,913,156 = 78,913,156 : x
  2. Step 2: Convert to fraction form
    36,266,498/78,913,156 = 78,913,156/x
  3. Step 3: Cross multiply
    36,266,498x = 78,913,156 × 78,913,156
  4. Step 4: Simplify right side
    36,266,498x = 6,227,286,189,880,336
  5. Step 5: Solve for x
    x = 6,227,286,189,880,336/36,266,498
  6. Step 6: Final answer
    x = 171,709,057.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.