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Finding the Third Proportional to 77,052,854 and 112,814,902

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Solution

The third proportional to 77,052,854 and 112,814,902 is: 165,174,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,854 : 112,814,902 = 112,814,902 : x
  2. Step 2: Convert to fraction form
    77,052,854/112,814,902 = 112,814,902/x
  3. Step 3: Cross multiply
    77,052,854x = 112,814,902 × 112,814,902
  4. Step 4: Simplify right side
    77,052,854x = 12,727,202,113,269,604
  5. Step 5: Solve for x
    x = 12,727,202,113,269,604/77,052,854
  6. Step 6: Final answer
    x = 165,174,960.47

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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.