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Finding the Third Proportional to 64,841,757 and 138,950,517

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Solution

The third proportional to 64,841,757 and 138,950,517 is: 297,759,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,841,757 : 138,950,517 = 138,950,517 : x
  2. Step 2: Convert to fraction form
    64,841,757/138,950,517 = 138,950,517/x
  3. Step 3: Cross multiply
    64,841,757x = 138,950,517 × 138,950,517
  4. Step 4: Simplify right side
    64,841,757x = 19,307,246,174,567,288
  5. Step 5: Solve for x
    x = 19,307,246,174,567,288/64,841,757
  6. Step 6: Final answer
    x = 297,759,454.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.