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Finding the Third Proportional to 705,050,498 and 1,467,324,958

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Solution

The third proportional to 705,050,498 and 1,467,324,958 is: 3,053,742,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,050,498 : 1,467,324,958 = 1,467,324,958 : x
  2. Step 2: Convert to fraction form
    705,050,498/1,467,324,958 = 1,467,324,958/x
  3. Step 3: Cross multiply
    705,050,498x = 1,467,324,958 × 1,467,324,958
  4. Step 4: Simplify right side
    705,050,498x = 2,153,042,532,369,701,888
  5. Step 5: Solve for x
    x = 2,153,042,532,369,701,888/705,050,498
  6. Step 6: Final answer
    x = 3,053,742,304.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.