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Finding the Third Proportional to 544,861,832 and 1,210,656,016

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Solution

The third proportional to 544,861,832 and 1,210,656,016 is: 2,690,017,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,861,832 : 1,210,656,016 = 1,210,656,016 : x
  2. Step 2: Convert to fraction form
    544,861,832/1,210,656,016 = 1,210,656,016/x
  3. Step 3: Cross multiply
    544,861,832x = 1,210,656,016 × 1,210,656,016
  4. Step 4: Simplify right side
    544,861,832x = 1,465,687,989,076,992,256
  5. Step 5: Solve for x
    x = 1,465,687,989,076,992,256/544,861,832
  6. Step 6: Final answer
    x = 2,690,017,731.10

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.