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Finding the Third Proportional to 65,042,841 and 140,802,924

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Solution

The third proportional to 65,042,841 and 140,802,924 is: 304,806,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042,841 : 140,802,924 = 140,802,924 : x
  2. Step 2: Convert to fraction form
    65,042,841/140,802,924 = 140,802,924/x
  3. Step 3: Cross multiply
    65,042,841x = 140,802,924 × 140,802,924
  4. Step 4: Simplify right side
    65,042,841x = 19,825,463,406,949,776
  5. Step 5: Solve for x
    x = 19,825,463,406,949,776/65,042,841
  6. Step 6: Final answer
    x = 304,806,233.89

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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.