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Finding the Third Proportional to 699,397,690.50 and 1,530,202,464

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Solution

The third proportional to 699,397,690.50 and 1,530,202,464 is: 3,347,908,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,397,690.50 : 1,530,202,464 = 1,530,202,464 : x
  2. Step 2: Convert to fraction form
    699,397,690.50/1,530,202,464 = 1,530,202,464/x
  3. Step 3: Cross multiply
    699,397,690.50x = 1,530,202,464 × 1,530,202,464
  4. Step 4: Simplify right side
    699,397,690.50x = 2,341,519,580,831,671,296
  5. Step 5: Solve for x
    x = 2,341,519,580,831,671,296/699,397,690.50
  6. Step 6: Final answer
    x = 3,347,908,654.31

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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.