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Finding the Third Proportional to 436,070,175.75 and 670,270,069.13

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Solution

The third proportional to 436,070,175.75 and 670,270,069.13 is: 1,030,251,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,070,175.75 : 670,270,069.13 = 670,270,069.13 : x
  2. Step 2: Convert to fraction form
    436,070,175.75/670,270,069.13 = 670,270,069.13/x
  3. Step 3: Cross multiply
    436,070,175.75x = 670,270,069.13 × 670,270,069.13
  4. Step 4: Simplify right side
    436,070,175.75x = 449,261,965,564,832,256
  5. Step 5: Solve for x
    x = 449,261,965,564,832,256/436,070,175.75
  6. Step 6: Final answer
    x = 1,030,251,529.57

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Why These Related Problems?

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