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Finding the Third Proportional to 699,946,596 and 1,531,648,008

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Solution

The third proportional to 699,946,596 and 1,531,648,008 is: 3,351,606,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,946,596 : 1,531,648,008 = 1,531,648,008 : x
  2. Step 2: Convert to fraction form
    699,946,596/1,531,648,008 = 1,531,648,008/x
  3. Step 3: Cross multiply
    699,946,596x = 1,531,648,008 × 1,531,648,008
  4. Step 4: Simplify right side
    699,946,596x = 2,345,945,620,410,368,000
  5. Step 5: Solve for x
    x = 2,345,945,620,410,368,000/699,946,596
  6. Step 6: Final answer
    x = 3,351,606,585.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.