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Finding the Third Proportional to 6,141,671,898 and 13,261,992,420

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Solution

The third proportional to 6,141,671,898 and 13,261,992,420 is: 28,637,225,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141,671,898 : 13,261,992,420 = 13,261,992,420 : x
  2. Step 2: Convert to fraction form
    6,141,671,898/13,261,992,420 = 13,261,992,420/x
  3. Step 3: Cross multiply
    6,141,671,898x = 13,261,992,420 × 13,261,992,420
  4. Step 4: Simplify right side
    6,141,671,898x = 175,880,442,948,137,451,520
  5. Step 5: Solve for x
    x = 175,880,442,948,137,451,520/6,141,671,898
  6. Step 6: Final answer
    x = 28,637,225,476.90

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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.