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Finding the Third Proportional to 15,728,646 and 21,250,345.50

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Solution

The third proportional to 15,728,646 and 21,250,345.50 is: 28,710,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728,646 : 21,250,345.50 = 21,250,345.50 : x
  2. Step 2: Convert to fraction form
    15,728,646/21,250,345.50 = 21,250,345.50/x
  3. Step 3: Cross multiply
    15,728,646x = 21,250,345.50 × 21,250,345.50
  4. Step 4: Simplify right side
    15,728,646x = 451,577,183,869,370.25
  5. Step 5: Solve for x
    x = 451,577,183,869,370.25/15,728,646
  6. Step 6: Final answer
    x = 28,710,493.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.