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Finding the Third Proportional to 8,131,280 and 17,382,688

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Solution

The third proportional to 8,131,280 and 17,382,688 is: 37,159,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131,280 : 17,382,688 = 17,382,688 : x
  2. Step 2: Convert to fraction form
    8,131,280/17,382,688 = 17,382,688/x
  3. Step 3: Cross multiply
    8,131,280x = 17,382,688 × 17,382,688
  4. Step 4: Simplify right side
    8,131,280x = 302,157,842,105,344
  5. Step 5: Solve for x
    x = 302,157,842,105,344/8,131,280
  6. Step 6: Final answer
    x = 37,159,935.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.