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Finding the Third Proportional to 10,976,553 and 16,071,169.50

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Solution

The third proportional to 10,976,553 and 16,071,169.50 is: 23,530,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976,553 : 16,071,169.50 = 16,071,169.50 : x
  2. Step 2: Convert to fraction form
    10,976,553/16,071,169.50 = 16,071,169.50/x
  3. Step 3: Cross multiply
    10,976,553x = 16,071,169.50 × 16,071,169.50
  4. Step 4: Simplify right side
    10,976,553x = 258,282,489,097,730.25
  5. Step 5: Solve for x
    x = 258,282,489,097,730.25/10,976,553
  6. Step 6: Final answer
    x = 23,530,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.