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Finding the Third Proportional to 538,798,368 and 1,161,697,472

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Solution

The third proportional to 538,798,368 and 1,161,697,472 is: 2,504,723,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,798,368 : 1,161,697,472 = 1,161,697,472 : x
  2. Step 2: Convert to fraction form
    538,798,368/1,161,697,472 = 1,161,697,472/x
  3. Step 3: Cross multiply
    538,798,368x = 1,161,697,472 × 1,161,697,472
  4. Step 4: Simplify right side
    538,798,368x = 1,349,541,016,451,190,784
  5. Step 5: Solve for x
    x = 1,349,541,016,451,190,784/538,798,368
  6. Step 6: Final answer
    x = 2,504,723,652.86

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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.