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Finding the Third Proportional to 77,552,876 and 168,030,706

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Solution

The third proportional to 77,552,876 and 168,030,706 is: 364,065,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552,876 : 168,030,706 = 168,030,706 : x
  2. Step 2: Convert to fraction form
    77,552,876/168,030,706 = 168,030,706/x
  3. Step 3: Cross multiply
    77,552,876x = 168,030,706 × 168,030,706
  4. Step 4: Simplify right side
    77,552,876x = 28,234,318,158,858,436
  5. Step 5: Solve for x
    x = 28,234,318,158,858,436/77,552,876
  6. Step 6: Final answer
    x = 364,065,391.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.