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Finding the Third Proportional to 7,721,370 and 16,468,713

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Solution

The third proportional to 7,721,370 and 16,468,713 is: 35,125,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721,370 : 16,468,713 = 16,468,713 : x
  2. Step 2: Convert to fraction form
    7,721,370/16,468,713 = 16,468,713/x
  3. Step 3: Cross multiply
    7,721,370x = 16,468,713 × 16,468,713
  4. Step 4: Simplify right side
    7,721,370x = 271,218,507,876,369
  5. Step 5: Solve for x
    x = 271,218,507,876,369/7,721,370
  6. Step 6: Final answer
    x = 35,125,697.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.