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Finding the Third Proportional to 22,847,654 and 49,457,164

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Solution

The third proportional to 22,847,654 and 49,457,164 is: 107,057,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847,654 : 49,457,164 = 49,457,164 : x
  2. Step 2: Convert to fraction form
    22,847,654/49,457,164 = 49,457,164/x
  3. Step 3: Cross multiply
    22,847,654x = 49,457,164 × 49,457,164
  4. Step 4: Simplify right side
    22,847,654x = 2,446,011,070,922,896
  5. Step 5: Solve for x
    x = 2,446,011,070,922,896/22,847,654
  6. Step 6: Final answer
    x = 107,057,427.91

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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.