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Finding the Third Proportional to 475,549,727 and 964,470,833

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Solution

The third proportional to 475,549,727 and 964,470,833 is: 1,956,060,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,549,727 : 964,470,833 = 964,470,833 : x
  2. Step 2: Convert to fraction form
    475,549,727/964,470,833 = 964,470,833/x
  3. Step 3: Cross multiply
    475,549,727x = 964,470,833 × 964,470,833
  4. Step 4: Simplify right side
    475,549,727x = 930,203,987,707,713,920
  5. Step 5: Solve for x
    x = 930,203,987,707,713,920/475,549,727
  6. Step 6: Final answer
    x = 1,956,060,396.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.