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Finding the Third Proportional to 699,796,637.16 and 1,503,444,985.31

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Solution

The third proportional to 699,796,637.16 and 1,503,444,985.31 is: 3,230,005,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,796,637.16 : 1,503,444,985.31 = 1,503,444,985.31 : x
  2. Step 2: Convert to fraction form
    699,796,637.16/1,503,444,985.31 = 1,503,444,985.31/x
  3. Step 3: Cross multiply
    699,796,637.16x = 1,503,444,985.31 × 1,503,444,985.31
  4. Step 4: Simplify right side
    699,796,637.16x = 2,260,346,823,861,303,296
  5. Step 5: Solve for x
    x = 2,260,346,823,861,303,296/699,796,637.16
  6. Step 6: Final answer
    x = 3,230,005,267.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.