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Finding the Third Proportional to 3,080,287,760 and 6,725,031,310

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Solution

The third proportional to 3,080,287,760 and 6,725,031,310 is: 14,682,409,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,287,760 : 6,725,031,310 = 6,725,031,310 : x
  2. Step 2: Convert to fraction form
    3,080,287,760/6,725,031,310 = 6,725,031,310/x
  3. Step 3: Cross multiply
    3,080,287,760x = 6,725,031,310 × 6,725,031,310
  4. Step 4: Simplify right side
    3,080,287,760x = 45,226,046,120,480,317,440
  5. Step 5: Solve for x
    x = 45,226,046,120,480,317,440/3,080,287,760
  6. Step 6: Final answer
    x = 14,682,409,451.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.