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Finding the Third Proportional to 6,834,262 and 15,032,780

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Solution

The third proportional to 6,834,262 and 15,032,780 is: 33,066,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,262 : 15,032,780 = 15,032,780 : x
  2. Step 2: Convert to fraction form
    6,834,262/15,032,780 = 15,032,780/x
  3. Step 3: Cross multiply
    6,834,262x = 15,032,780 × 15,032,780
  4. Step 4: Simplify right side
    6,834,262x = 225,984,474,528,400
  5. Step 5: Solve for x
    x = 225,984,474,528,400/6,834,262
  6. Step 6: Final answer
    x = 33,066,404.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.