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Finding the Third Proportional to 6,478,201 and 14,176,754

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Solution

The third proportional to 6,478,201 and 14,176,754 is: 31,024,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,201 : 14,176,754 = 14,176,754 : x
  2. Step 2: Convert to fraction form
    6,478,201/14,176,754 = 14,176,754/x
  3. Step 3: Cross multiply
    6,478,201x = 14,176,754 × 14,176,754
  4. Step 4: Simplify right side
    6,478,201x = 200,980,353,976,516
  5. Step 5: Solve for x
    x = 200,980,353,976,516/6,478,201
  6. Step 6: Final answer
    x = 31,024,099.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.