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Finding the Third Proportional to 2,246,078,376 and 4,847,291,832

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Solution

The third proportional to 2,246,078,376 and 4,847,291,832 is: 10,461,005,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246,078,376 : 4,847,291,832 = 4,847,291,832 : x
  2. Step 2: Convert to fraction form
    2,246,078,376/4,847,291,832 = 4,847,291,832/x
  3. Step 3: Cross multiply
    2,246,078,376x = 4,847,291,832 × 4,847,291,832
  4. Step 4: Simplify right side
    2,246,078,376x = 23,496,238,104,573,915,136
  5. Step 5: Solve for x
    x = 23,496,238,104,573,915,136/2,246,078,376
  6. Step 6: Final answer
    x = 10,461,005,437.58

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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.