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Finding the Third Proportional to 44,016,960 and 96,536,967

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Solution

The third proportional to 44,016,960 and 96,536,967 is: 211,722,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,016,960 : 96,536,967 = 96,536,967 : x
  2. Step 2: Convert to fraction form
    44,016,960/96,536,967 = 96,536,967/x
  3. Step 3: Cross multiply
    44,016,960x = 96,536,967 × 96,536,967
  4. Step 4: Simplify right side
    44,016,960x = 9,319,385,997,559,088
  5. Step 5: Solve for x
    x = 9,319,385,997,559,088/44,016,960
  6. Step 6: Final answer
    x = 211,722,617.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.