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Finding the Third Proportional to 338,015,916 and 712,346,958

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Solution

The third proportional to 338,015,916 and 712,346,958 is: 1,501,225,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,015,916 : 712,346,958 = 712,346,958 : x
  2. Step 2: Convert to fraction form
    338,015,916/712,346,958 = 712,346,958/x
  3. Step 3: Cross multiply
    338,015,916x = 712,346,958 × 712,346,958
  4. Step 4: Simplify right side
    338,015,916x = 507,438,188,571,853,760
  5. Step 5: Solve for x
    x = 507,438,188,571,853,760/338,015,916
  6. Step 6: Final answer
    x = 1,501,225,725.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.