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Finding the Third Proportional to 286,095,264 and 617,927,250

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Solution

The third proportional to 286,095,264 and 617,927,250 is: 1,334,639,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,264 : 617,927,250 = 617,927,250 : x
  2. Step 2: Convert to fraction form
    286,095,264/617,927,250 = 617,927,250/x
  3. Step 3: Cross multiply
    286,095,264x = 617,927,250 × 617,927,250
  4. Step 4: Simplify right side
    286,095,264x = 381,834,086,292,562,496
  5. Step 5: Solve for x
    x = 381,834,086,292,562,496/286,095,264
  6. Step 6: Final answer
    x = 1,334,639,661.47

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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.