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Finding the Third Proportional to 780,115,830 and 1,624,801,614

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Solution

The third proportional to 780,115,830 and 1,624,801,614 is: 3,384,087,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,115,830 : 1,624,801,614 = 1,624,801,614 : x
  2. Step 2: Convert to fraction form
    780,115,830/1,624,801,614 = 1,624,801,614/x
  3. Step 3: Cross multiply
    780,115,830x = 1,624,801,614 × 1,624,801,614
  4. Step 4: Simplify right side
    780,115,830x = 2,639,980,284,857,005,056
  5. Step 5: Solve for x
    x = 2,639,980,284,857,005,056/780,115,830
  6. Step 6: Final answer
    x = 3,384,087,571.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.