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Finding the Third Proportional to 2,653,306 and 5,685,011

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Solution

The third proportional to 2,653,306 and 5,685,011 is: 12,180,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,306 : 5,685,011 = 5,685,011 : x
  2. Step 2: Convert to fraction form
    2,653,306/5,685,011 = 5,685,011/x
  3. Step 3: Cross multiply
    2,653,306x = 5,685,011 × 5,685,011
  4. Step 4: Simplify right side
    2,653,306x = 32,319,350,070,121
  5. Step 5: Solve for x
    x = 32,319,350,070,121/2,653,306
  6. Step 6: Final answer
    x = 12,180,785.05

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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.