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Finding the Third Proportional to 6,809,416 and 10,117,654

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Solution

The third proportional to 6,809,416 and 10,117,654 is: 15,033,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,416 : 10,117,654 = 10,117,654 : x
  2. Step 2: Convert to fraction form
    6,809,416/10,117,654 = 10,117,654/x
  3. Step 3: Cross multiply
    6,809,416x = 10,117,654 × 10,117,654
  4. Step 4: Simplify right side
    6,809,416x = 102,366,922,463,716
  5. Step 5: Solve for x
    x = 102,366,922,463,716/6,809,416
  6. Step 6: Final answer
    x = 15,033,142.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.