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Finding the Third Proportional to 361,619,816 and 784,886,800

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Solution

The third proportional to 361,619,816 and 784,886,800 is: 1,703,577,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,619,816 : 784,886,800 = 784,886,800 : x
  2. Step 2: Convert to fraction form
    361,619,816/784,886,800 = 784,886,800/x
  3. Step 3: Cross multiply
    361,619,816x = 784,886,800 × 784,886,800
  4. Step 4: Simplify right side
    361,619,816x = 616,047,288,814,240,000
  5. Step 5: Solve for x
    x = 616,047,288,814,240,000/361,619,816
  6. Step 6: Final answer
    x = 1,703,577,242.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.