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Finding the Third Proportional to 22,606,784 and 47,615,056

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Solution

The third proportional to 22,606,784 and 47,615,056 is: 100,288,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606,784 : 47,615,056 = 47,615,056 : x
  2. Step 2: Convert to fraction form
    22,606,784/47,615,056 = 47,615,056/x
  3. Step 3: Cross multiply
    22,606,784x = 47,615,056 × 47,615,056
  4. Step 4: Simplify right side
    22,606,784x = 2,267,193,557,883,136
  5. Step 5: Solve for x
    x = 2,267,193,557,883,136/22,606,784
  6. Step 6: Final answer
    x = 100,288,194.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.