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Finding the Third Proportional to 6,212,352 and 13,288,328

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Solution

The third proportional to 6,212,352 and 13,288,328 is: 28,423,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212,352 : 13,288,328 = 13,288,328 : x
  2. Step 2: Convert to fraction form
    6,212,352/13,288,328 = 13,288,328/x
  3. Step 3: Cross multiply
    6,212,352x = 13,288,328 × 13,288,328
  4. Step 4: Simplify right side
    6,212,352x = 176,579,661,035,584
  5. Step 5: Solve for x
    x = 176,579,661,035,584/6,212,352
  6. Step 6: Final answer
    x = 28,423,962.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.