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Finding the Third Proportional to 71,963,843 and 105,246,795

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Solution

The third proportional to 71,963,843 and 105,246,795 is: 153,922,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963,843 : 105,246,795 = 105,246,795 : x
  2. Step 2: Convert to fraction form
    71,963,843/105,246,795 = 105,246,795/x
  3. Step 3: Cross multiply
    71,963,843x = 105,246,795 × 105,246,795
  4. Step 4: Simplify right side
    71,963,843x = 11,076,887,857,772,024
  5. Step 5: Solve for x
    x = 11,076,887,857,772,024/71,963,843
  6. Step 6: Final answer
    x = 153,922,961.81

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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.