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Finding the Third Proportional to 1,571,505,861 and 3,422,018,248.13

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Solution

The third proportional to 1,571,505,861 and 3,422,018,248.13 is: 7,451,584,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,505,861 : 3,422,018,248.13 = 3,422,018,248.13 : x
  2. Step 2: Convert to fraction form
    1,571,505,861/3,422,018,248.13 = 3,422,018,248.13/x
  3. Step 3: Cross multiply
    1,571,505,861x = 3,422,018,248.13 × 3,422,018,248.13
  4. Step 4: Simplify right side
    1,571,505,861x = 11,710,208,890,500,493,312
  5. Step 5: Solve for x
    x = 11,710,208,890,500,493,312/1,571,505,861
  6. Step 6: Final answer
    x = 7,451,584,611.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.