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Finding the Third Proportional to 8,090,712 and 17,382,084

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Solution

The third proportional to 8,090,712 and 17,382,084 is: 37,343,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090,712 : 17,382,084 = 17,382,084 : x
  2. Step 2: Convert to fraction form
    8,090,712/17,382,084 = 17,382,084/x
  3. Step 3: Cross multiply
    8,090,712x = 17,382,084 × 17,382,084
  4. Step 4: Simplify right side
    8,090,712x = 302,136,844,183,056
  5. Step 5: Solve for x
    x = 302,136,844,183,056/8,090,712
  6. Step 6: Final answer
    x = 37,343,665.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.