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Finding the Third Proportional to 11,430,444 and 17,413,650

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Solution

The third proportional to 11,430,444 and 17,413,650 is: 26,528,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430,444 : 17,413,650 = 17,413,650 : x
  2. Step 2: Convert to fraction form
    11,430,444/17,413,650 = 17,413,650/x
  3. Step 3: Cross multiply
    11,430,444x = 17,413,650 × 17,413,650
  4. Step 4: Simplify right side
    11,430,444x = 303,235,206,322,500
  5. Step 5: Solve for x
    x = 303,235,206,322,500/11,430,444
  6. Step 6: Final answer
    x = 26,528,733.82

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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.