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Finding the Third Proportional to 216,894,868 and 476,831,032

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Solution

The third proportional to 216,894,868 and 476,831,032 is: 1,048,285,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,894,868 : 476,831,032 = 476,831,032 : x
  2. Step 2: Convert to fraction form
    216,894,868/476,831,032 = 476,831,032/x
  3. Step 3: Cross multiply
    216,894,868x = 476,831,032 × 476,831,032
  4. Step 4: Simplify right side
    216,894,868x = 227,367,833,078,185,024
  5. Step 5: Solve for x
    x = 227,367,833,078,185,024/216,894,868
  6. Step 6: Final answer
    x = 1,048,285,905.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.