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Finding the Third Proportional to 286,495,213 and 613,832,512

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Solution

The third proportional to 286,495,213 and 613,832,512 is: 1,315,171,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,495,213 : 613,832,512 = 613,832,512 : x
  2. Step 2: Convert to fraction form
    286,495,213/613,832,512 = 613,832,512/x
  3. Step 3: Cross multiply
    286,495,213x = 613,832,512 × 613,832,512
  4. Step 4: Simplify right side
    286,495,213x = 376,790,352,788,230,144
  5. Step 5: Solve for x
    x = 376,790,352,788,230,144/286,495,213
  6. Step 6: Final answer
    x = 1,315,171,548.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.