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Finding the Third Proportional to 11,997,582.75 and 17,098,488

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Solution

The third proportional to 11,997,582.75 and 17,098,488 is: 24,368,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997,582.75 : 17,098,488 = 17,098,488 : x
  2. Step 2: Convert to fraction form
    11,997,582.75/17,098,488 = 17,098,488/x
  3. Step 3: Cross multiply
    11,997,582.75x = 17,098,488 × 17,098,488
  4. Step 4: Simplify right side
    11,997,582.75x = 292,358,291,886,144
  5. Step 5: Solve for x
    x = 292,358,291,886,144/11,997,582.75
  6. Step 6: Final answer
    x = 24,368,099.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.