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Finding the Third Proportional to 1,551,654,846 and 2,325,212,513

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Solution

The third proportional to 1,551,654,846 and 2,325,212,513 is: 3,484,417,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551,654,846 : 2,325,212,513 = 2,325,212,513 : x
  2. Step 2: Convert to fraction form
    1,551,654,846/2,325,212,513 = 2,325,212,513/x
  3. Step 3: Cross multiply
    1,551,654,846x = 2,325,212,513 × 2,325,212,513
  4. Step 4: Simplify right side
    1,551,654,846x = 5,406,613,230,611,775,488
  5. Step 5: Solve for x
    x = 5,406,613,230,611,775,488/1,551,654,846
  6. Step 6: Final answer
    x = 3,484,417,455.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.