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Finding the Third Proportional to 699,290,451,102 and 1,521,717,287,602.50

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Solution

The third proportional to 699,290,451,102 and 1,521,717,287,602.50 is: 3,311,390,138,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,290,451,102 : 1,521,717,287,602.50 = 1,521,717,287,602.50 : x
  2. Step 2: Convert to fraction form
    699,290,451,102/1,521,717,287,602.50 = 1,521,717,287,602.50/x
  3. Step 3: Cross multiply
    699,290,451,102x = 1,521,717,287,602.50 × 1,521,717,287,602.50
  4. Step 4: Simplify right side
    699,290,451,102x = 2,315,623,503,388,309,616,328,704
  5. Step 5: Solve for x
    x = 2,315,623,503,388,309,616,328,704/699,290,451,102
  6. Step 6: Final answer
    x = 3,311,390,138,016.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.