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Finding the Third Proportional to 49,696,030 and 106,769,496

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Solution

The third proportional to 49,696,030 and 106,769,496 is: 229,389,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696,030 : 106,769,496 = 106,769,496 : x
  2. Step 2: Convert to fraction form
    49,696,030/106,769,496 = 106,769,496/x
  3. Step 3: Cross multiply
    49,696,030x = 106,769,496 × 106,769,496
  4. Step 4: Simplify right side
    49,696,030x = 11,399,725,276,094,016
  5. Step 5: Solve for x
    x = 11,399,725,276,094,016/49,696,030
  6. Step 6: Final answer
    x = 229,389,053.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.