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Finding the Third Proportional to 699,290,451,104 and 1,521,717,287,607

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Solution

The third proportional to 699,290,451,104 and 1,521,717,287,607 is: 3,311,390,138,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,290,451,104 : 1,521,717,287,607 = 1,521,717,287,607 : x
  2. Step 2: Convert to fraction form
    699,290,451,104/1,521,717,287,607 = 1,521,717,287,607/x
  3. Step 3: Cross multiply
    699,290,451,104x = 1,521,717,287,607 × 1,521,717,287,607
  4. Step 4: Simplify right side
    699,290,451,104x = 2,315,623,503,402,005,193,293,824
  5. Step 5: Solve for x
    x = 2,315,623,503,402,005,193,293,824/699,290,451,104
  6. Step 6: Final answer
    x = 3,311,390,138,026.67

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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.