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Finding the Third Proportional to 22,111,728 and 47,845,342

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Solution

The third proportional to 22,111,728 and 47,845,342 is: 103,527,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111,728 : 47,845,342 = 47,845,342 : x
  2. Step 2: Convert to fraction form
    22,111,728/47,845,342 = 47,845,342/x
  3. Step 3: Cross multiply
    22,111,728x = 47,845,342 × 47,845,342
  4. Step 4: Simplify right side
    22,111,728x = 2,289,176,751,096,964
  5. Step 5: Solve for x
    x = 2,289,176,751,096,964/22,111,728
  6. Step 6: Final answer
    x = 103,527,718.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.