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Finding the Third Proportional to 1,892,537,222 and 4,141,846,314

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Solution

The third proportional to 1,892,537,222 and 4,141,846,314 is: 9,064,493,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,537,222 : 4,141,846,314 = 4,141,846,314 : x
  2. Step 2: Convert to fraction form
    1,892,537,222/4,141,846,314 = 4,141,846,314/x
  3. Step 3: Cross multiply
    1,892,537,222x = 4,141,846,314 × 4,141,846,314
  4. Step 4: Simplify right side
    1,892,537,222x = 17,154,890,888,795,385,856
  5. Step 5: Solve for x
    x = 17,154,890,888,795,385,856/1,892,537,222
  6. Step 6: Final answer
    x = 9,064,493,257.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.