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Finding the Third Proportional to 273,936,276 and 586,659,564

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Solution

The third proportional to 273,936,276 and 586,659,564 is: 1,256,385,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,936,276 : 586,659,564 = 586,659,564 : x
  2. Step 2: Convert to fraction form
    273,936,276/586,659,564 = 586,659,564/x
  3. Step 3: Cross multiply
    273,936,276x = 586,659,564 × 586,659,564
  4. Step 4: Simplify right side
    273,936,276x = 344,169,444,032,670,080
  5. Step 5: Solve for x
    x = 344,169,444,032,670,080/273,936,276
  6. Step 6: Final answer
    x = 1,256,385,058.08

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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.