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Finding the Third Proportional to 6,757,974 and 14,705,724

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Solution

The third proportional to 6,757,974 and 14,705,724 is: 32,000,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,974 : 14,705,724 = 14,705,724 : x
  2. Step 2: Convert to fraction form
    6,757,974/14,705,724 = 14,705,724/x
  3. Step 3: Cross multiply
    6,757,974x = 14,705,724 × 14,705,724
  4. Step 4: Simplify right side
    6,757,974x = 216,258,318,364,176
  5. Step 5: Solve for x
    x = 216,258,318,364,176/6,757,974
  6. Step 6: Final answer
    x = 32,000,466.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.