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Finding the Third Proportional to 7,766,890 and 17,026,772

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Solution

The third proportional to 7,766,890 and 17,026,772 is: 37,326,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,890 : 17,026,772 = 17,026,772 : x
  2. Step 2: Convert to fraction form
    7,766,890/17,026,772 = 17,026,772/x
  3. Step 3: Cross multiply
    7,766,890x = 17,026,772 × 17,026,772
  4. Step 4: Simplify right side
    7,766,890x = 289,910,964,739,984
  5. Step 5: Solve for x
    x = 289,910,964,739,984/7,766,890
  6. Step 6: Final answer
    x = 37,326,518.69

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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.