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Finding the Third Proportional to 6,214,671,119 and 13,315,785,826

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Solution

The third proportional to 6,214,671,119 and 13,315,785,826 is: 28,530,898,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,671,119 : 13,315,785,826 = 13,315,785,826 : x
  2. Step 2: Convert to fraction form
    6,214,671,119/13,315,785,826 = 13,315,785,826/x
  3. Step 3: Cross multiply
    6,214,671,119x = 13,315,785,826 × 13,315,785,826
  4. Step 4: Simplify right side
    6,214,671,119x = 177,310,152,163,902,488,576
  5. Step 5: Solve for x
    x = 177,310,152,163,902,488,576/6,214,671,119
  6. Step 6: Final answer
    x = 28,530,898,702.24

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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.