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Finding the Third Proportional to 11,853,440 and 17,702,080

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Solution

The third proportional to 11,853,440 and 17,702,080 is: 26,436,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853,440 : 17,702,080 = 17,702,080 : x
  2. Step 2: Convert to fraction form
    11,853,440/17,702,080 = 17,702,080/x
  3. Step 3: Cross multiply
    11,853,440x = 17,702,080 × 17,702,080
  4. Step 4: Simplify right side
    11,853,440x = 313,363,636,326,400
  5. Step 5: Solve for x
    x = 313,363,636,326,400/11,853,440
  6. Step 6: Final answer
    x = 26,436,514.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.