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Finding the Third Proportional to 378,611,516.25 and 581,593,645.13

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Solution

The third proportional to 378,611,516.25 and 581,593,645.13 is: 893,399,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,611,516.25 : 581,593,645.13 = 581,593,645.13 : x
  2. Step 2: Convert to fraction form
    378,611,516.25/581,593,645.13 = 581,593,645.13/x
  3. Step 3: Cross multiply
    378,611,516.25x = 581,593,645.13 × 581,593,645.13
  4. Step 4: Simplify right side
    378,611,516.25x = 338,251,168,049,784,448
  5. Step 5: Solve for x
    x = 338,251,168,049,784,448/378,611,516.25
  6. Step 6: Final answer
    x = 893,399,047.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.