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Finding the Third Proportional to 6,077,328 and 12,968,216

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Solution

The third proportional to 6,077,328 and 12,968,216 is: 27,672,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,328 : 12,968,216 = 12,968,216 : x
  2. Step 2: Convert to fraction form
    6,077,328/12,968,216 = 12,968,216/x
  3. Step 3: Cross multiply
    6,077,328x = 12,968,216 × 12,968,216
  4. Step 4: Simplify right side
    6,077,328x = 168,174,626,222,656
  5. Step 5: Solve for x
    x = 168,174,626,222,656/6,077,328
  6. Step 6: Final answer
    x = 27,672,461.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.