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Finding the Third Proportional to 214,571,500 and 463,445,536

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Solution

The third proportional to 214,571,500 and 463,445,536 is: 1,000,979,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571,500 : 463,445,536 = 463,445,536 : x
  2. Step 2: Convert to fraction form
    214,571,500/463,445,536 = 463,445,536/x
  3. Step 3: Cross multiply
    214,571,500x = 463,445,536 × 463,445,536
  4. Step 4: Simplify right side
    214,571,500x = 214,781,764,838,327,296
  5. Step 5: Solve for x
    x = 214,781,764,838,327,296/214,571,500
  6. Step 6: Final answer
    x = 1,000,979,929.01

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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.