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Finding the Third Proportional to 1,511,717,926 and 2,347,168,503

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Solution

The third proportional to 1,511,717,926 and 2,347,168,503 is: 3,644,330,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,717,926 : 2,347,168,503 = 2,347,168,503 : x
  2. Step 2: Convert to fraction form
    1,511,717,926/2,347,168,503 = 2,347,168,503/x
  3. Step 3: Cross multiply
    1,511,717,926x = 2,347,168,503 × 2,347,168,503
  4. Step 4: Simplify right side
    1,511,717,926x = 5,509,199,981,475,261,440
  5. Step 5: Solve for x
    x = 5,509,199,981,475,261,440/1,511,717,926
  6. Step 6: Final answer
    x = 3,644,330,656.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.