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Finding the Third Proportional to 1,387,293,590 and 2,004,399,667.25

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Solution

The third proportional to 1,387,293,590 and 2,004,399,667.25 is: 2,896,011,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,293,590 : 2,004,399,667.25 = 2,004,399,667.25 : x
  2. Step 2: Convert to fraction form
    1,387,293,590/2,004,399,667.25 = 2,004,399,667.25/x
  3. Step 3: Cross multiply
    1,387,293,590x = 2,004,399,667.25 × 2,004,399,667.25
  4. Step 4: Simplify right side
    1,387,293,590x = 4,017,618,026,071,910,912
  5. Step 5: Solve for x
    x = 4,017,618,026,071,910,912/1,387,293,590
  6. Step 6: Final answer
    x = 2,896,011,381.46

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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.