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Finding the Third Proportional to 11,537,520 and 17,935,596

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Solution

The third proportional to 11,537,520 and 17,935,596 is: 27,881,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537,520 : 17,935,596 = 17,935,596 : x
  2. Step 2: Convert to fraction form
    11,537,520/17,935,596 = 17,935,596/x
  3. Step 3: Cross multiply
    11,537,520x = 17,935,596 × 17,935,596
  4. Step 4: Simplify right side
    11,537,520x = 321,685,603,875,216
  5. Step 5: Solve for x
    x = 321,685,603,875,216/11,537,520
  6. Step 6: Final answer
    x = 27,881,694.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.