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Finding the Third Proportional to 286,095,267 and 617,927,253

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Solution

The third proportional to 286,095,267 and 617,927,253 is: 1,334,639,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,267 : 617,927,253 = 617,927,253 : x
  2. Step 2: Convert to fraction form
    286,095,267/617,927,253 = 617,927,253/x
  3. Step 3: Cross multiply
    286,095,267x = 617,927,253 × 617,927,253
  4. Step 4: Simplify right side
    286,095,267x = 381,834,090,000,126,016
  5. Step 5: Solve for x
    x = 381,834,090,000,126,016/286,095,267
  6. Step 6: Final answer
    x = 1,334,639,660.43

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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.