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Finding the Third Proportional to 77,052,818 and 112,814,859

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Solution

The third proportional to 77,052,818 and 112,814,859 is: 165,174,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,818 : 112,814,859 = 112,814,859 : x
  2. Step 2: Convert to fraction form
    77,052,818/112,814,859 = 112,814,859/x
  3. Step 3: Cross multiply
    77,052,818x = 112,814,859 × 112,814,859
  4. Step 4: Simplify right side
    77,052,818x = 12,727,192,411,189,880
  5. Step 5: Solve for x
    x = 12,727,192,411,189,880/77,052,818
  6. Step 6: Final answer
    x = 165,174,911.72

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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.