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Finding the Third Proportional to 6,123,702 and 13,183,428

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Solution

The third proportional to 6,123,702 and 13,183,428 is: 28,381,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123,702 : 13,183,428 = 13,183,428 : x
  2. Step 2: Convert to fraction form
    6,123,702/13,183,428 = 13,183,428/x
  3. Step 3: Cross multiply
    6,123,702x = 13,183,428 × 13,183,428
  4. Step 4: Simplify right side
    6,123,702x = 173,802,773,831,184
  5. Step 5: Solve for x
    x = 173,802,773,831,184/6,123,702
  6. Step 6: Final answer
    x = 28,381,977.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.