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Finding the Third Proportional to 1,096,162,146 and 2,586,746,468.25

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Solution

The third proportional to 1,096,162,146 and 2,586,746,468.25 is: 6,104,258,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,162,146 : 2,586,746,468.25 = 2,586,746,468.25 : x
  2. Step 2: Convert to fraction form
    1,096,162,146/2,586,746,468.25 = 2,586,746,468.25/x
  3. Step 3: Cross multiply
    1,096,162,146x = 2,586,746,468.25 × 2,586,746,468.25
  4. Step 4: Simplify right side
    1,096,162,146x = 6,691,257,291,003,848,704
  5. Step 5: Solve for x
    x = 6,691,257,291,003,848,704/1,096,162,146
  6. Step 6: Final answer
    x = 6,104,258,676.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.