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Finding the Third Proportional to 286,196,904 and 617,717,196

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Solution

The third proportional to 286,196,904 and 617,717,196 is: 1,333,258,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196,904 : 617,717,196 = 617,717,196 : x
  2. Step 2: Convert to fraction form
    286,196,904/617,717,196 = 617,717,196/x
  3. Step 3: Cross multiply
    286,196,904x = 617,717,196 × 617,717,196
  4. Step 4: Simplify right side
    286,196,904x = 381,574,534,234,102,400
  5. Step 5: Solve for x
    x = 381,574,534,234,102,400/286,196,904
  6. Step 6: Final answer
    x = 1,333,258,777.09

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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.