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Finding the Third Proportional to 3,080,287,752 and 6,725,031,294

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Solution

The third proportional to 3,080,287,752 and 6,725,031,294 is: 14,682,409,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,287,752 : 6,725,031,294 = 6,725,031,294 : x
  2. Step 2: Convert to fraction form
    3,080,287,752/6,725,031,294 = 6,725,031,294/x
  3. Step 3: Cross multiply
    3,080,287,752x = 6,725,031,294 × 6,725,031,294
  4. Step 4: Simplify right side
    3,080,287,752x = 45,226,045,905,279,311,872
  5. Step 5: Solve for x
    x = 45,226,045,905,279,311,872/3,080,287,752
  6. Step 6: Final answer
    x = 14,682,409,419.68

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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.