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Finding the Third Proportional to 1,806,654,375 and 2,761,908,369.19

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Solution

The third proportional to 1,806,654,375 and 2,761,908,369.19 is: 4,222,245,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,654,375 : 2,761,908,369.19 = 2,761,908,369.19 : x
  2. Step 2: Convert to fraction form
    1,806,654,375/2,761,908,369.19 = 2,761,908,369.19/x
  3. Step 3: Cross multiply
    1,806,654,375x = 2,761,908,369.19 × 2,761,908,369.19
  4. Step 4: Simplify right side
    1,806,654,375x = 7,628,137,839,788,509,184
  5. Step 5: Solve for x
    x = 7,628,137,839,788,509,184/1,806,654,375
  6. Step 6: Final answer
    x = 4,222,245,242.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.