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Finding the Third Proportional to 577,407,861 and 1,185,425,866.50

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Solution

The third proportional to 577,407,861 and 1,185,425,866.50 is: 2,433,694,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,407,861 : 1,185,425,866.50 = 1,185,425,866.50 : x
  2. Step 2: Convert to fraction form
    577,407,861/1,185,425,866.50 = 1,185,425,866.50/x
  3. Step 3: Cross multiply
    577,407,861x = 1,185,425,866.50 × 1,185,425,866.50
  4. Step 4: Simplify right side
    577,407,861x = 1,405,234,484,967,275,776
  5. Step 5: Solve for x
    x = 1,405,234,484,967,275,776/577,407,861
  6. Step 6: Final answer
    x = 2,433,694,758.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.