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Finding the Third Proportional to 9,514,194 and 13,562,691

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Solution

The third proportional to 9,514,194 and 13,562,691 is: 19,333,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514,194 : 13,562,691 = 13,562,691 : x
  2. Step 2: Convert to fraction form
    9,514,194/13,562,691 = 13,562,691/x
  3. Step 3: Cross multiply
    9,514,194x = 13,562,691 × 13,562,691
  4. Step 4: Simplify right side
    9,514,194x = 183,946,587,161,481
  5. Step 5: Solve for x
    x = 183,946,587,161,481/9,514,194
  6. Step 6: Final answer
    x = 19,333,911.75

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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.