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Finding the Third Proportional to 6,463,090,442 and 9,824,950,287

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Solution

The third proportional to 6,463,090,442 and 9,824,950,287 is: 14,935,524,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,090,442 : 9,824,950,287 = 9,824,950,287 : x
  2. Step 2: Convert to fraction form
    6,463,090,442/9,824,950,287 = 9,824,950,287/x
  3. Step 3: Cross multiply
    6,463,090,442x = 9,824,950,287 × 9,824,950,287
  4. Step 4: Simplify right side
    6,463,090,442x = 96,529,648,142,021,378,048
  5. Step 5: Solve for x
    x = 96,529,648,142,021,378,048/6,463,090,442
  6. Step 6: Final answer
    x = 14,935,524,886.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.