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Finding the Third Proportional to 36,311,882 and 78,362,146

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Solution

The third proportional to 36,311,882 and 78,362,146 is: 169,107,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,311,882 : 78,362,146 = 78,362,146 : x
  2. Step 2: Convert to fraction form
    36,311,882/78,362,146 = 78,362,146/x
  3. Step 3: Cross multiply
    36,311,882x = 78,362,146 × 78,362,146
  4. Step 4: Simplify right side
    36,311,882x = 6,140,625,925,725,316
  5. Step 5: Solve for x
    x = 6,140,625,925,725,316/36,311,882
  6. Step 6: Final answer
    x = 169,107,894.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.