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Finding the Third Proportional to 1,387,293,592 and 2,004,399,670

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Solution

The third proportional to 1,387,293,592 and 2,004,399,670 is: 2,896,011,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,293,592 : 2,004,399,670 = 2,004,399,670 : x
  2. Step 2: Convert to fraction form
    1,387,293,592/2,004,399,670 = 2,004,399,670/x
  3. Step 3: Cross multiply
    1,387,293,592x = 2,004,399,670 × 2,004,399,670
  4. Step 4: Simplify right side
    1,387,293,592x = 4,017,618,037,096,109,056
  5. Step 5: Solve for x
    x = 4,017,618,037,096,109,056/1,387,293,592
  6. Step 6: Final answer
    x = 2,896,011,385.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.