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Finding the Third Proportional to 699,397,681.50 and 1,530,202,446

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Solution

The third proportional to 699,397,681.50 and 1,530,202,446 is: 3,347,908,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,397,681.50 : 1,530,202,446 = 1,530,202,446 : x
  2. Step 2: Convert to fraction form
    699,397,681.50/1,530,202,446 = 1,530,202,446/x
  3. Step 3: Cross multiply
    699,397,681.50x = 1,530,202,446 × 1,530,202,446
  4. Step 4: Simplify right side
    699,397,681.50x = 2,341,519,525,744,382,976
  5. Step 5: Solve for x
    x = 2,341,519,525,744,382,976/699,397,681.50
  6. Step 6: Final answer
    x = 3,347,908,618.63

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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.