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Finding the Third Proportional to 7,612,822 and 11,208,957

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Solution

The third proportional to 7,612,822 and 11,208,957 is: 16,503,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,822 : 11,208,957 = 11,208,957 : x
  2. Step 2: Convert to fraction form
    7,612,822/11,208,957 = 11,208,957/x
  3. Step 3: Cross multiply
    7,612,822x = 11,208,957 × 11,208,957
  4. Step 4: Simplify right side
    7,612,822x = 125,640,717,027,849
  5. Step 5: Solve for x
    x = 125,640,717,027,849/7,612,822
  6. Step 6: Final answer
    x = 16,503,829.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.