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Finding the Third Proportional to 6,746,138 and 10,362,891

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Solution

The third proportional to 6,746,138 and 10,362,891 is: 15,918,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,138 : 10,362,891 = 10,362,891 : x
  2. Step 2: Convert to fraction form
    6,746,138/10,362,891 = 10,362,891/x
  3. Step 3: Cross multiply
    6,746,138x = 10,362,891 × 10,362,891
  4. Step 4: Simplify right side
    6,746,138x = 107,389,509,877,881
  5. Step 5: Solve for x
    x = 107,389,509,877,881/6,746,138
  6. Step 6: Final answer
    x = 15,918,664.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.