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Finding the Third Proportional to 538,798,370 and 1,161,697,476

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Solution

The third proportional to 538,798,370 and 1,161,697,476 is: 2,504,723,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,798,370 : 1,161,697,476 = 1,161,697,476 : x
  2. Step 2: Convert to fraction form
    538,798,370/1,161,697,476 = 1,161,697,476/x
  3. Step 3: Cross multiply
    538,798,370x = 1,161,697,476 × 1,161,697,476
  4. Step 4: Simplify right side
    538,798,370x = 1,349,541,025,744,770,560
  5. Step 5: Solve for x
    x = 1,349,541,025,744,770,560/538,798,370
  6. Step 6: Final answer
    x = 2,504,723,660.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.