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Finding the Third Proportional to 6,214,705,754 and 13,315,853,836

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Solution

The third proportional to 6,214,705,754 and 13,315,853,836 is: 28,531,031,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,705,754 : 13,315,853,836 = 13,315,853,836 : x
  2. Step 2: Convert to fraction form
    6,214,705,754/13,315,853,836 = 13,315,853,836/x
  3. Step 3: Cross multiply
    6,214,705,754x = 13,315,853,836 × 13,315,853,836
  4. Step 4: Simplify right side
    6,214,705,754x = 177,311,963,381,715,927,040
  5. Step 5: Solve for x
    x = 177,311,963,381,715,927,040/6,214,705,754
  6. Step 6: Final answer
    x = 28,531,031,138.13

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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.