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Finding the Third Proportional to 4,421,042 and 9,683,716

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Solution

The third proportional to 4,421,042 and 9,683,716 is: 21,210,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421,042 : 9,683,716 = 9,683,716 : x
  2. Step 2: Convert to fraction form
    4,421,042/9,683,716 = 9,683,716/x
  3. Step 3: Cross multiply
    4,421,042x = 9,683,716 × 9,683,716
  4. Step 4: Simplify right side
    4,421,042x = 93,774,355,568,656
  5. Step 5: Solve for x
    x = 93,774,355,568,656/4,421,042
  6. Step 6: Final answer
    x = 21,210,917.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.