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Finding the Third Proportional to 11,827,309.50 and 17,291,943

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Solution

The third proportional to 11,827,309.50 and 17,291,943 is: 25,281,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827,309.50 : 17,291,943 = 17,291,943 : x
  2. Step 2: Convert to fraction form
    11,827,309.50/17,291,943 = 17,291,943/x
  3. Step 3: Cross multiply
    11,827,309.50x = 17,291,943 × 17,291,943
  4. Step 4: Simplify right side
    11,827,309.50x = 299,011,292,715,249
  5. Step 5: Solve for x
    x = 299,011,292,715,249/11,827,309.50
  6. Step 6: Final answer
    x = 25,281,429.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.