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Finding the Third Proportional to 214,571,442.75 and 463,445,427

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Solution

The third proportional to 214,571,442.75 and 463,445,427 is: 1,000,979,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571,442.75 : 463,445,427 = 463,445,427 : x
  2. Step 2: Convert to fraction form
    214,571,442.75/463,445,427 = 463,445,427/x
  3. Step 3: Cross multiply
    214,571,442.75x = 463,445,427 × 463,445,427
  4. Step 4: Simplify right side
    214,571,442.75x = 214,781,663,807,212,320
  5. Step 5: Solve for x
    x = 214,781,663,807,212,320/214,571,442.75
  6. Step 6: Final answer
    x = 1,000,979,725.24

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Why These Related Problems?

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