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Finding the Third Proportional to 673,077,863.25 and 1,006,926,190.88

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Solution

The third proportional to 673,077,863.25 and 1,006,926,190.88 is: 1,506,364,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,077,863.25 : 1,006,926,190.88 = 1,006,926,190.88 : x
  2. Step 2: Convert to fraction form
    673,077,863.25/1,006,926,190.88 = 1,006,926,190.88/x
  3. Step 3: Cross multiply
    673,077,863.25x = 1,006,926,190.88 × 1,006,926,190.88
  4. Step 4: Simplify right side
    673,077,863.25x = 1,013,900,353,870,036,992
  5. Step 5: Solve for x
    x = 1,013,900,353,870,036,992/673,077,863.25
  6. Step 6: Final answer
    x = 1,506,364,135.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.