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Finding the Third Proportional to 775,291,889 and 1,701,222,700

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Solution

The third proportional to 775,291,889 and 1,701,222,700 is: 3,732,992,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,291,889 : 1,701,222,700 = 1,701,222,700 : x
  2. Step 2: Convert to fraction form
    775,291,889/1,701,222,700 = 1,701,222,700/x
  3. Step 3: Cross multiply
    775,291,889x = 1,701,222,700 × 1,701,222,700
  4. Step 4: Simplify right side
    775,291,889x = 2,894,158,674,995,290,112
  5. Step 5: Solve for x
    x = 2,894,158,674,995,290,112/775,291,889
  6. Step 6: Final answer
    x = 3,732,992,329.80

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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.