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Finding the Third Proportional to 775,291,872 and 1,701,222,668

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Solution

The third proportional to 775,291,872 and 1,701,222,668 is: 3,732,992,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,291,872 : 1,701,222,668 = 1,701,222,668 : x
  2. Step 2: Convert to fraction form
    775,291,872/1,701,222,668 = 1,701,222,668/x
  3. Step 3: Cross multiply
    775,291,872x = 1,701,222,668 × 1,701,222,668
  4. Step 4: Simplify right side
    775,291,872x = 2,894,158,566,117,038,080
  5. Step 5: Solve for x
    x = 2,894,158,566,117,038,080/775,291,872
  6. Step 6: Final answer
    x = 3,732,992,271.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.