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Finding the Third Proportional to 691,385,996.25 and 1,520,677,039.50

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Solution

The third proportional to 691,385,996.25 and 1,520,677,039.50 is: 3,344,670,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,385,996.25 : 1,520,677,039.50 = 1,520,677,039.50 : x
  2. Step 2: Convert to fraction form
    691,385,996.25/1,520,677,039.50 = 1,520,677,039.50/x
  3. Step 3: Cross multiply
    691,385,996.25x = 1,520,677,039.50 × 1,520,677,039.50
  4. Step 4: Simplify right side
    691,385,996.25x = 2,312,458,658,462,484,480
  5. Step 5: Solve for x
    x = 2,312,458,658,462,484,480/691,385,996.25
  6. Step 6: Final answer
    x = 3,344,670,952.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.