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Finding the Third Proportional to 36,266,500 and 78,913,160

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Solution

The third proportional to 36,266,500 and 78,913,160 is: 171,709,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266,500 : 78,913,160 = 78,913,160 : x
  2. Step 2: Convert to fraction form
    36,266,500/78,913,160 = 78,913,160/x
  3. Step 3: Cross multiply
    36,266,500x = 78,913,160 × 78,913,160
  4. Step 4: Simplify right side
    36,266,500x = 6,227,286,821,185,600
  5. Step 5: Solve for x
    x = 6,227,286,821,185,600/36,266,500
  6. Step 6: Final answer
    x = 171,709,065.42

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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.