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Finding the Third Proportional to 6,785,835 and 14,791,017

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Solution

The third proportional to 6,785,835 and 14,791,017 is: 32,239,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785,835 : 14,791,017 = 14,791,017 : x
  2. Step 2: Convert to fraction form
    6,785,835/14,791,017 = 14,791,017/x
  3. Step 3: Cross multiply
    6,785,835x = 14,791,017 × 14,791,017
  4. Step 4: Simplify right side
    6,785,835x = 218,774,183,894,289
  5. Step 5: Solve for x
    x = 218,774,183,894,289/6,785,835
  6. Step 6: Final answer
    x = 32,239,832.52

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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.