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Finding the Third Proportional to 5,710,176 and 8,407,440

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Solution

The third proportional to 5,710,176 and 8,407,440 is: 12,378,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,176 : 8,407,440 = 8,407,440 : x
  2. Step 2: Convert to fraction form
    5,710,176/8,407,440 = 8,407,440/x
  3. Step 3: Cross multiply
    5,710,176x = 8,407,440 × 8,407,440
  4. Step 4: Simplify right side
    5,710,176x = 70,685,047,353,600
  5. Step 5: Solve for x
    x = 70,685,047,353,600/5,710,176
  6. Step 6: Final answer
    x = 12,378,786.11

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