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Finding the Third Proportional to 467,295,083 and 997,135,207

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Solution

The third proportional to 467,295,083 and 997,135,207 is: 2,127,731,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,295,083 : 997,135,207 = 997,135,207 : x
  2. Step 2: Convert to fraction form
    467,295,083/997,135,207 = 997,135,207/x
  3. Step 3: Cross multiply
    467,295,083x = 997,135,207 × 997,135,207
  4. Step 4: Simplify right side
    467,295,083x = 994,278,621,038,932,864
  5. Step 5: Solve for x
    x = 994,278,621,038,932,864/467,295,083
  6. Step 6: Final answer
    x = 2,127,731,827.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.