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Finding the Third Proportional to 6,214,705,756 and 13,315,853,840

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Solution

The third proportional to 6,214,705,756 and 13,315,853,840 is: 28,531,031,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,705,756 : 13,315,853,840 = 13,315,853,840 : x
  2. Step 2: Convert to fraction form
    6,214,705,756/13,315,853,840 = 13,315,853,840/x
  3. Step 3: Cross multiply
    6,214,705,756x = 13,315,853,840 × 13,315,853,840
  4. Step 4: Simplify right side
    6,214,705,756x = 177,311,963,488,242,761,728
  5. Step 5: Solve for x
    x = 177,311,963,488,242,761,728/6,214,705,756
  6. Step 6: Final answer
    x = 28,531,031,146.09

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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.