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Finding the Third Proportional to 415,454,446.50 and 899,850,789

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Solution

The third proportional to 415,454,446.50 and 899,850,789 is: 1,949,025,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,454,446.50 : 899,850,789 = 899,850,789 : x
  2. Step 2: Convert to fraction form
    415,454,446.50/899,850,789 = 899,850,789/x
  3. Step 3: Cross multiply
    415,454,446.50x = 899,850,789 × 899,850,789
  4. Step 4: Simplify right side
    415,454,446.50x = 809,731,442,463,922,560
  5. Step 5: Solve for x
    x = 809,731,442,463,922,560/415,454,446.50
  6. Step 6: Final answer
    x = 1,949,025,818.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.