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Finding the Third Proportional to 36,778,302 and 78,039,715.50

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Solution

The third proportional to 36,778,302 and 78,039,715.50 is: 165,592,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778,302 : 78,039,715.50 = 78,039,715.50 : x
  2. Step 2: Convert to fraction form
    36,778,302/78,039,715.50 = 78,039,715.50/x
  3. Step 3: Cross multiply
    36,778,302x = 78,039,715.50 × 78,039,715.50
  4. Step 4: Simplify right side
    36,778,302x = 6,090,197,195,320,940
  5. Step 5: Solve for x
    x = 6,090,197,195,320,940/36,778,302
  6. Step 6: Final answer
    x = 165,592,125.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.