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Finding the Third Proportional to 1,865,714,912 and 4,082,891,184

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Solution

The third proportional to 1,865,714,912 and 4,082,891,184 is: 8,934,912,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,714,912 : 4,082,891,184 = 4,082,891,184 : x
  2. Step 2: Convert to fraction form
    1,865,714,912/4,082,891,184 = 4,082,891,184/x
  3. Step 3: Cross multiply
    1,865,714,912x = 4,082,891,184 × 4,082,891,184
  4. Step 4: Simplify right side
    1,865,714,912x = 16,670,000,420,384,921,600
  5. Step 5: Solve for x
    x = 16,670,000,420,384,921,600/1,865,714,912
  6. Step 6: Final answer
    x = 8,934,912,999.39

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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.