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Finding the Third Proportional to 1,693,807,123 and 3,669,012,253

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Solution

The third proportional to 1,693,807,123 and 3,669,012,253 is: 7,947,570,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,807,123 : 3,669,012,253 = 3,669,012,253 : x
  2. Step 2: Convert to fraction form
    1,693,807,123/3,669,012,253 = 3,669,012,253/x
  3. Step 3: Cross multiply
    1,693,807,123x = 3,669,012,253 × 3,669,012,253
  4. Step 4: Simplify right side
    1,693,807,123x = 13,461,650,912,664,135,680
  5. Step 5: Solve for x
    x = 13,461,650,912,664,135,680/1,693,807,123
  6. Step 6: Final answer
    x = 7,947,570,139.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.