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Finding the Third Proportional to 562,797,327 and 1,222,477,024

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Solution

The third proportional to 562,797,327 and 1,222,477,024 is: 2,655,396,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,797,327 : 1,222,477,024 = 1,222,477,024 : x
  2. Step 2: Convert to fraction form
    562,797,327/1,222,477,024 = 1,222,477,024/x
  3. Step 3: Cross multiply
    562,797,327x = 1,222,477,024 × 1,222,477,024
  4. Step 4: Simplify right side
    562,797,327x = 1,494,450,074,207,896,576
  5. Step 5: Solve for x
    x = 1,494,450,074,207,896,576/562,797,327
  6. Step 6: Final answer
    x = 2,655,396,538.88

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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.