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Finding the Third Proportional to 584,866,052.72 and 1,300,499,806.22

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Solution

The third proportional to 584,866,052.72 and 1,300,499,806.22 is: 2,891,772,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,866,052.72 : 1,300,499,806.22 = 1,300,499,806.22 : x
  2. Step 2: Convert to fraction form
    584,866,052.72/1,300,499,806.22 = 1,300,499,806.22/x
  3. Step 3: Cross multiply
    584,866,052.72x = 1,300,499,806.22 × 1,300,499,806.22
  4. Step 4: Simplify right side
    584,866,052.72x = 1,691,299,745,975,136,512
  5. Step 5: Solve for x
    x = 1,691,299,745,975,136,512/584,866,052.72
  6. Step 6: Final answer
    x = 2,891,772,805.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.