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Finding the Third Proportional to 1,699,298,892 and 2,624,414,472

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Solution

The third proportional to 1,699,298,892 and 2,624,414,472 is: 4,053,172,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,298,892 : 2,624,414,472 = 2,624,414,472 : x
  2. Step 2: Convert to fraction form
    1,699,298,892/2,624,414,472 = 2,624,414,472/x
  3. Step 3: Cross multiply
    1,699,298,892x = 2,624,414,472 × 2,624,414,472
  4. Step 4: Simplify right side
    1,699,298,892x = 6,887,551,320,843,038,720
  5. Step 5: Solve for x
    x = 6,887,551,320,843,038,720/1,699,298,892
  6. Step 6: Final answer
    x = 4,053,172,372.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.