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Finding the Third Proportional to 77,052,823 and 112,814,863

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Solution

The third proportional to 77,052,823 and 112,814,863 is: 165,174,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,823 : 112,814,863 = 112,814,863 : x
  2. Step 2: Convert to fraction form
    77,052,823/112,814,863 = 112,814,863/x
  3. Step 3: Cross multiply
    77,052,823x = 112,814,863 × 112,814,863
  4. Step 4: Simplify right side
    77,052,823x = 12,727,193,313,708,768
  5. Step 5: Solve for x
    x = 12,727,193,313,708,768/77,052,823
  6. Step 6: Final answer
    x = 165,174,912.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.