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Finding the Third Proportional to 364,916,107.50 and 755,701,690.50

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Solution

The third proportional to 364,916,107.50 and 755,701,690.50 is: 1,564,976,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,916,107.50 : 755,701,690.50 = 755,701,690.50 : x
  2. Step 2: Convert to fraction form
    364,916,107.50/755,701,690.50 = 755,701,690.50/x
  3. Step 3: Cross multiply
    364,916,107.50x = 755,701,690.50 × 755,701,690.50
  4. Step 4: Simplify right side
    364,916,107.50x = 571,085,045,024,557,760
  5. Step 5: Solve for x
    x = 571,085,045,024,557,760/364,916,107.50
  6. Step 6: Final answer
    x = 1,564,976,259.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.