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Finding the Third Proportional to 5,664,588 and 8,543,894

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Solution

The third proportional to 5,664,588 and 8,543,894 is: 12,886,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664,588 : 8,543,894 = 8,543,894 : x
  2. Step 2: Convert to fraction form
    5,664,588/8,543,894 = 8,543,894/x
  3. Step 3: Cross multiply
    5,664,588x = 8,543,894 × 8,543,894
  4. Step 4: Simplify right side
    5,664,588x = 72,998,124,683,236
  5. Step 5: Solve for x
    x = 72,998,124,683,236/5,664,588
  6. Step 6: Final answer
    x = 12,886,749.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.