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Finding the Third Proportional to 214,571,439 and 463,445,424

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Solution

The third proportional to 214,571,439 and 463,445,424 is: 1,000,979,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571,439 : 463,445,424 = 463,445,424 : x
  2. Step 2: Convert to fraction form
    214,571,439/463,445,424 = 463,445,424/x
  3. Step 3: Cross multiply
    214,571,439x = 463,445,424 × 463,445,424
  4. Step 4: Simplify right side
    214,571,439x = 214,781,661,026,539,776
  5. Step 5: Solve for x
    x = 214,781,661,026,539,776/214,571,439
  6. Step 6: Final answer
    x = 1,000,979,729.77

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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.