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Finding the Third Proportional to 273,936,297 and 586,659,606

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Solution

The third proportional to 273,936,297 and 586,659,606 is: 1,256,385,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,936,297 : 586,659,606 = 586,659,606 : x
  2. Step 2: Convert to fraction form
    273,936,297/586,659,606 = 586,659,606/x
  3. Step 3: Cross multiply
    273,936,297x = 586,659,606 × 586,659,606
  4. Step 4: Simplify right side
    273,936,297x = 344,169,493,312,075,264
  5. Step 5: Solve for x
    x = 344,169,493,312,075,264/273,936,297
  6. Step 6: Final answer
    x = 1,256,385,141.66

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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.