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Finding the Third Proportional to 364,827,110 and 802,618,924

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Solution

The third proportional to 364,827,110 and 802,618,924 is: 1,765,760,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,827,110 : 802,618,924 = 802,618,924 : x
  2. Step 2: Convert to fraction form
    364,827,110/802,618,924 = 802,618,924/x
  3. Step 3: Cross multiply
    364,827,110x = 802,618,924 × 802,618,924
  4. Step 4: Simplify right side
    364,827,110x = 644,197,137,162,917,760
  5. Step 5: Solve for x
    x = 644,197,137,162,917,760/364,827,110
  6. Step 6: Final answer
    x = 1,765,760,053.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.