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Finding the Third Proportional to 269,218,956 and 585,607,858.50

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Solution

The third proportional to 269,218,956 and 585,607,858.50 is: 1,273,820,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,956 : 585,607,858.50 = 585,607,858.50 : x
  2. Step 2: Convert to fraction form
    269,218,956/585,607,858.50 = 585,607,858.50/x
  3. Step 3: Cross multiply
    269,218,956x = 585,607,858.50 × 585,607,858.50
  4. Step 4: Simplify right side
    269,218,956x = 342,936,563,936,956,032
  5. Step 5: Solve for x
    x = 342,936,563,936,956,032/269,218,956
  6. Step 6: Final answer
    x = 1,273,820,272.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.