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Finding the Third Proportional to 592,133,668 and 1,283,115,608

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Solution

The third proportional to 592,133,668 and 1,283,115,608 is: 2,780,429,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,133,668 : 1,283,115,608 = 1,283,115,608 : x
  2. Step 2: Convert to fraction form
    592,133,668/1,283,115,608 = 1,283,115,608/x
  3. Step 3: Cross multiply
    592,133,668x = 1,283,115,608 × 1,283,115,608
  4. Step 4: Simplify right side
    592,133,668x = 1,646,385,663,493,209,600
  5. Step 5: Solve for x
    x = 1,646,385,663,493,209,600/592,133,668
  6. Step 6: Final answer
    x = 2,780,429,069.43

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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.