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Finding the Third Proportional to 214,571,448 and 463,445,435.25

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Solution

The third proportional to 214,571,448 and 463,445,435.25 is: 1,000,979,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571,448 : 463,445,435.25 = 463,445,435.25 : x
  2. Step 2: Convert to fraction form
    214,571,448/463,445,435.25 = 463,445,435.25/x
  3. Step 3: Cross multiply
    214,571,448x = 463,445,435.25 × 463,445,435.25
  4. Step 4: Simplify right side
    214,571,448x = 214,781,671,454,061,952
  5. Step 5: Solve for x
    x = 214,781,671,454,061,952/214,571,448
  6. Step 6: Final answer
    x = 1,000,979,736.38

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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.