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Finding the Third Proportional to 6,236,784 and 13,437,792

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Solution

The third proportional to 6,236,784 and 13,437,792 is: 28,953,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236,784 : 13,437,792 = 13,437,792 : x
  2. Step 2: Convert to fraction form
    6,236,784/13,437,792 = 13,437,792/x
  3. Step 3: Cross multiply
    6,236,784x = 13,437,792 × 13,437,792
  4. Step 4: Simplify right side
    6,236,784x = 180,574,253,835,264
  5. Step 5: Solve for x
    x = 180,574,253,835,264/6,236,784
  6. Step 6: Final answer
    x = 28,953,103.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.