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Finding the Third Proportional to 1,049,175,970 and 2,172,635,574

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Solution

The third proportional to 1,049,175,970 and 2,172,635,574 is: 4,499,097,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,175,970 : 2,172,635,574 = 2,172,635,574 : x
  2. Step 2: Convert to fraction form
    1,049,175,970/2,172,635,574 = 2,172,635,574/x
  3. Step 3: Cross multiply
    1,049,175,970x = 2,172,635,574 × 2,172,635,574
  4. Step 4: Simplify right side
    1,049,175,970x = 4,720,345,337,410,309,120
  5. Step 5: Solve for x
    x = 4,720,345,337,410,309,120/1,049,175,970
  6. Step 6: Final answer
    x = 4,499,097,837.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.