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Finding the Third Proportional to 213,953,690,494 and 466,350,776,652

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Solution

The third proportional to 213,953,690,494 and 466,350,776,652 is: 1,016,495,889,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953,690,494 : 466,350,776,652 = 466,350,776,652 : x
  2. Step 2: Convert to fraction form
    213,953,690,494/466,350,776,652 = 466,350,776,652/x
  3. Step 3: Cross multiply
    213,953,690,494x = 466,350,776,652 × 466,350,776,652
  4. Step 4: Simplify right side
    213,953,690,494x = 217,483,046,883,923,580,682,240
  5. Step 5: Solve for x
    x = 217,483,046,883,923,580,682,240/213,953,690,494
  6. Step 6: Final answer
    x = 1,016,495,889,282.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.