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Finding the Third Proportional to 1,865,714,790 and 4,082,890,952

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Solution

The third proportional to 1,865,714,790 and 4,082,890,952 is: 8,934,912,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,714,790 : 4,082,890,952 = 4,082,890,952 : x
  2. Step 2: Convert to fraction form
    1,865,714,790/4,082,890,952 = 4,082,890,952/x
  3. Step 3: Cross multiply
    1,865,714,790x = 4,082,890,952 × 4,082,890,952
  4. Step 4: Simplify right side
    1,865,714,790x = 16,669,998,525,923,467,264
  5. Step 5: Solve for x
    x = 16,669,998,525,923,467,264/1,865,714,790
  6. Step 6: Final answer
    x = 8,934,912,568.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.