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Finding the Third Proportional to 50,207,886 and 77,583,996

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Solution

The third proportional to 50,207,886 and 77,583,996 is: 119,887,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207,886 : 77,583,996 = 77,583,996 : x
  2. Step 2: Convert to fraction form
    50,207,886/77,583,996 = 77,583,996/x
  3. Step 3: Cross multiply
    50,207,886x = 77,583,996 × 77,583,996
  4. Step 4: Simplify right side
    50,207,886x = 6,019,276,435,328,016
  5. Step 5: Solve for x
    x = 6,019,276,435,328,016/50,207,886
  6. Step 6: Final answer
    x = 119,887,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.