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Finding the Third Proportional to 4,695,117.75 and 9,894,611.25

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Solution

The third proportional to 4,695,117.75 and 9,894,611.25 is: 20,852,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695,117.75 : 9,894,611.25 = 9,894,611.25 : x
  2. Step 2: Convert to fraction form
    4,695,117.75/9,894,611.25 = 9,894,611.25/x
  3. Step 3: Cross multiply
    4,695,117.75x = 9,894,611.25 × 9,894,611.25
  4. Step 4: Simplify right side
    4,695,117.75x = 97,903,331,788,626.56
  5. Step 5: Solve for x
    x = 97,903,331,788,626.56/4,695,117.75
  6. Step 6: Final answer
    x = 20,852,156.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.