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Finding the Third Proportional to 1,535,172,792 and 2,245,186,272

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Solution

The third proportional to 1,535,172,792 and 2,245,186,272 is: 3,283,579,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,172,792 : 2,245,186,272 = 2,245,186,272 : x
  2. Step 2: Convert to fraction form
    1,535,172,792/2,245,186,272 = 2,245,186,272/x
  3. Step 3: Cross multiply
    1,535,172,792x = 2,245,186,272 × 2,245,186,272
  4. Step 4: Simplify right side
    1,535,172,792x = 5,040,861,395,977,257,984
  5. Step 5: Solve for x
    x = 5,040,861,395,977,257,984/1,535,172,792
  6. Step 6: Final answer
    x = 3,283,579,165.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.