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Finding the Third Proportional to 3,096,117.84 and 6,994,911.09

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Solution

The third proportional to 3,096,117.84 and 6,994,911.09 is: 15,803,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,117.84 : 6,994,911.09 = 6,994,911.09 : x
  2. Step 2: Convert to fraction form
    3,096,117.84/6,994,911.09 = 6,994,911.09/x
  3. Step 3: Cross multiply
    3,096,117.84x = 6,994,911.09 × 6,994,911.09
  4. Step 4: Simplify right side
    3,096,117.84x = 48,928,781,209,466.82
  5. Step 5: Solve for x
    x = 48,928,781,209,466.82/3,096,117.84
  6. Step 6: Final answer
    x = 15,803,268.38

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.