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Finding the Third Proportional to 7,727,994 and 11,355,687

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Solution

The third proportional to 7,727,994 and 11,355,687 is: 16,686,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,994 : 11,355,687 = 11,355,687 : x
  2. Step 2: Convert to fraction form
    7,727,994/11,355,687 = 11,355,687/x
  3. Step 3: Cross multiply
    7,727,994x = 11,355,687 × 11,355,687
  4. Step 4: Simplify right side
    7,727,994x = 128,951,627,241,969
  5. Step 5: Solve for x
    x = 128,951,627,241,969/7,727,994
  6. Step 6: Final answer
    x = 16,686,300.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.