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Finding the Third Proportional to 6,612,827,301 and 14,277,611,718

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Solution

The third proportional to 6,612,827,301 and 14,277,611,718 is: 30,826,481,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612,827,301 : 14,277,611,718 = 14,277,611,718 : x
  2. Step 2: Convert to fraction form
    6,612,827,301/14,277,611,718 = 14,277,611,718/x
  3. Step 3: Cross multiply
    6,612,827,301x = 14,277,611,718 × 14,277,611,718
  4. Step 4: Simplify right side
    6,612,827,301x = 203,850,196,369,970,921,472
  5. Step 5: Solve for x
    x = 203,850,196,369,970,921,472/6,612,827,301
  6. Step 6: Final answer
    x = 30,826,481,184.40

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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.