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Finding the Third Proportional to 6,612,827,502 and 14,277,612,132

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Solution

The third proportional to 6,612,827,502 and 14,277,612,132 is: 30,826,482,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612,827,502 : 14,277,612,132 = 14,277,612,132 : x
  2. Step 2: Convert to fraction form
    6,612,827,502/14,277,612,132 = 14,277,612,132/x
  3. Step 3: Cross multiply
    6,612,827,502x = 14,277,612,132 × 14,277,612,132
  4. Step 4: Simplify right side
    6,612,827,502x = 203,850,208,191,833,571,328
  5. Step 5: Solve for x
    x = 203,850,208,191,833,571,328/6,612,827,502
  6. Step 6: Final answer
    x = 30,826,482,035.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.