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Finding the Third Proportional to 702,904,914 and 1,463,988,841.31

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Solution

The third proportional to 702,904,914 and 1,463,988,841.31 is: 3,049,151,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904,914 : 1,463,988,841.31 = 1,463,988,841.31 : x
  2. Step 2: Convert to fraction form
    702,904,914/1,463,988,841.31 = 1,463,988,841.31/x
  3. Step 3: Cross multiply
    702,904,914x = 1,463,988,841.31 × 1,463,988,841.31
  4. Step 4: Simplify right side
    702,904,914x = 2,143,263,327,487,516,416
  5. Step 5: Solve for x
    x = 2,143,263,327,487,516,416/702,904,914
  6. Step 6: Final answer
    x = 3,049,151,150.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.