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Finding the Third Proportional to 572,314,384 and 1,239,707,014

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Solution

The third proportional to 572,314,384 and 1,239,707,014 is: 2,685,365,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,314,384 : 1,239,707,014 = 1,239,707,014 : x
  2. Step 2: Convert to fraction form
    572,314,384/1,239,707,014 = 1,239,707,014/x
  3. Step 3: Cross multiply
    572,314,384x = 1,239,707,014 × 1,239,707,014
  4. Step 4: Simplify right side
    572,314,384x = 1,536,873,480,560,796,160
  5. Step 5: Solve for x
    x = 1,536,873,480,560,796,160/572,314,384
  6. Step 6: Final answer
    x = 2,685,365,812.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.