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Finding the Third Proportional to 7,766,872 and 17,026,736

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Solution

The third proportional to 7,766,872 and 17,026,736 is: 37,326,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,872 : 17,026,736 = 17,026,736 : x
  2. Step 2: Convert to fraction form
    7,766,872/17,026,736 = 17,026,736/x
  3. Step 3: Cross multiply
    7,766,872x = 17,026,736 × 17,026,736
  4. Step 4: Simplify right side
    7,766,872x = 289,909,738,813,696
  5. Step 5: Solve for x
    x = 289,909,738,813,696/7,766,872
  6. Step 6: Final answer
    x = 37,326,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.