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Finding the Third Proportional to 990,082,184 and 2,098,187,960

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Solution

The third proportional to 990,082,184 and 2,098,187,960 is: 4,446,492,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,082,184 : 2,098,187,960 = 2,098,187,960 : x
  2. Step 2: Convert to fraction form
    990,082,184/2,098,187,960 = 2,098,187,960/x
  3. Step 3: Cross multiply
    990,082,184x = 2,098,187,960 × 2,098,187,960
  4. Step 4: Simplify right side
    990,082,184x = 4,402,392,715,488,961,536
  5. Step 5: Solve for x
    x = 4,402,392,715,488,961,536/990,082,184
  6. Step 6: Final answer
    x = 4,446,492,207.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.