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Finding the Third Proportional to 5,710,037 and 8,407,303

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Solution

The third proportional to 5,710,037 and 8,407,303 is: 12,378,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,037 : 8,407,303 = 8,407,303 : x
  2. Step 2: Convert to fraction form
    5,710,037/8,407,303 = 8,407,303/x
  3. Step 3: Cross multiply
    5,710,037x = 8,407,303 × 8,407,303
  4. Step 4: Simplify right side
    5,710,037x = 70,682,743,733,809
  5. Step 5: Solve for x
    x = 70,682,743,733,809/5,710,037
  6. Step 6: Final answer
    x = 12,378,684.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.