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Finding the Third Proportional to 7,769,136 and 17,080,080

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Solution

The third proportional to 7,769,136 and 17,080,080 is: 37,549,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,136 : 17,080,080 = 17,080,080 : x
  2. Step 2: Convert to fraction form
    7,769,136/17,080,080 = 17,080,080/x
  3. Step 3: Cross multiply
    7,769,136x = 17,080,080 × 17,080,080
  4. Step 4: Simplify right side
    7,769,136x = 291,729,132,806,400
  5. Step 5: Solve for x
    x = 291,729,132,806,400/7,769,136
  6. Step 6: Final answer
    x = 37,549,752.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.