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Finding the Third Proportional to 207,269,999,906 and 318,447,446,960

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Solution

The third proportional to 207,269,999,906 and 318,447,446,960 is: 489,259,306,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269,999,906 : 318,447,446,960 = 318,447,446,960 : x
  2. Step 2: Convert to fraction form
    207,269,999,906/318,447,446,960 = 318,447,446,960/x
  3. Step 3: Cross multiply
    207,269,999,906x = 318,447,446,960 × 318,447,446,960
  4. Step 4: Simplify right side
    207,269,999,906x = 101,408,776,475,342,012,416,000
  5. Step 5: Solve for x
    x = 101,408,776,475,342,012,416,000/207,269,999,906
  6. Step 6: Final answer
    x = 489,259,306,804.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.