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Finding the Third Proportional to 4,661,998 and 7,200,033

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Solution

The third proportional to 4,661,998 and 7,200,033 is: 11,119,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,998 : 7,200,033 = 7,200,033 : x
  2. Step 2: Convert to fraction form
    4,661,998/7,200,033 = 7,200,033/x
  3. Step 3: Cross multiply
    4,661,998x = 7,200,033 × 7,200,033
  4. Step 4: Simplify right side
    4,661,998x = 51,840,475,201,089
  5. Step 5: Solve for x
    x = 51,840,475,201,089/4,661,998
  6. Step 6: Final answer
    x = 11,119,797.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.