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Finding the Third Proportional to 6,965,715.23 and 14,774,264.58

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Solution

The third proportional to 6,965,715.23 and 14,774,264.58 is: 31,336,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,715.23 : 14,774,264.58 = 14,774,264.58 : x
  2. Step 2: Convert to fraction form
    6,965,715.23/14,774,264.58 = 14,774,264.58/x
  3. Step 3: Cross multiply
    6,965,715.23x = 14,774,264.58 × 14,774,264.58
  4. Step 4: Simplify right side
    6,965,715.23x = 218,278,893,824,439.09
  5. Step 5: Solve for x
    x = 218,278,893,824,439.09/6,965,715.23
  6. Step 6: Final answer
    x = 31,336,178.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.