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Finding the Third Proportional to 475,549,729 and 964,470,837

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Solution

The third proportional to 475,549,729 and 964,470,837 is: 1,956,060,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,549,729 : 964,470,837 = 964,470,837 : x
  2. Step 2: Convert to fraction form
    475,549,729/964,470,837 = 964,470,837/x
  3. Step 3: Cross multiply
    475,549,729x = 964,470,837 × 964,470,837
  4. Step 4: Simplify right side
    475,549,729x = 930,203,995,423,480,576
  5. Step 5: Solve for x
    x = 930,203,995,423,480,576/475,549,729
  6. Step 6: Final answer
    x = 1,956,060,404.83

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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.