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Finding the Third Proportional to 600,283,794 and 1,300,757,095.50

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Solution

The third proportional to 600,283,794 and 1,300,757,095.50 is: 2,818,615,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,283,794 : 1,300,757,095.50 = 1,300,757,095.50 : x
  2. Step 2: Convert to fraction form
    600,283,794/1,300,757,095.50 = 1,300,757,095.50/x
  3. Step 3: Cross multiply
    600,283,794x = 1,300,757,095.50 × 1,300,757,095.50
  4. Step 4: Simplify right side
    600,283,794x = 1,691,969,021,493,596,160
  5. Step 5: Solve for x
    x = 1,691,969,021,493,596,160/600,283,794
  6. Step 6: Final answer
    x = 2,818,615,192.36

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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.