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Finding the Third Proportional to 6,214,705,758 and 13,315,853,844

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Solution

The third proportional to 6,214,705,758 and 13,315,853,844 is: 28,531,031,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,705,758 : 13,315,853,844 = 13,315,853,844 : x
  2. Step 2: Convert to fraction form
    6,214,705,758/13,315,853,844 = 13,315,853,844/x
  3. Step 3: Cross multiply
    6,214,705,758x = 13,315,853,844 × 13,315,853,844
  4. Step 4: Simplify right side
    6,214,705,758x = 177,311,963,594,769,563,648
  5. Step 5: Solve for x
    x = 177,311,963,594,769,563,648/6,214,705,758
  6. Step 6: Final answer
    x = 28,531,031,154.05

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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.