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Finding the Third Proportional to 6,214,671,074 and 13,315,785,732

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Solution

The third proportional to 6,214,671,074 and 13,315,785,732 is: 28,530,898,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,671,074 : 13,315,785,732 = 13,315,785,732 : x
  2. Step 2: Convert to fraction form
    6,214,671,074/13,315,785,732 = 13,315,785,732/x
  3. Step 3: Cross multiply
    6,214,671,074x = 13,315,785,732 × 13,315,785,732
  4. Step 4: Simplify right side
    6,214,671,074x = 177,310,149,660,534,767,616
  5. Step 5: Solve for x
    x = 177,310,149,660,534,767,616/6,214,671,074
  6. Step 6: Final answer
    x = 28,530,898,506.01

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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.