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Finding the Third Proportional to 4,314,822 and 7,190,509.50

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Solution

The third proportional to 4,314,822 and 7,190,509.50 is: 11,982,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,822 : 7,190,509.50 = 7,190,509.50 : x
  2. Step 2: Convert to fraction form
    4,314,822/7,190,509.50 = 7,190,509.50/x
  3. Step 3: Cross multiply
    4,314,822x = 7,190,509.50 × 7,190,509.50
  4. Step 4: Simplify right side
    4,314,822x = 51,703,426,869,590.25
  5. Step 5: Solve for x
    x = 51,703,426,869,590.25/4,314,822
  6. Step 6: Final answer
    x = 11,982,748.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.