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Finding the Third Proportional to 5,731,720 and 9,203,696

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Solution

The third proportional to 5,731,720 and 9,203,696 is: 14,778,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731,720 : 9,203,696 = 9,203,696 : x
  2. Step 2: Convert to fraction form
    5,731,720/9,203,696 = 9,203,696/x
  3. Step 3: Cross multiply
    5,731,720x = 9,203,696 × 9,203,696
  4. Step 4: Simplify right side
    5,731,720x = 84,708,020,060,416
  5. Step 5: Solve for x
    x = 84,708,020,060,416/5,731,720
  6. Step 6: Final answer
    x = 14,778,813.35

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.