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Finding the Third Proportional to 4,881,930 and 10,210,008

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Solution

The third proportional to 4,881,930 and 10,210,008 is: 21,353,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881,930 : 10,210,008 = 10,210,008 : x
  2. Step 2: Convert to fraction form
    4,881,930/10,210,008 = 10,210,008/x
  3. Step 3: Cross multiply
    4,881,930x = 10,210,008 × 10,210,008
  4. Step 4: Simplify right side
    4,881,930x = 104,244,263,360,064
  5. Step 5: Solve for x
    x = 104,244,263,360,064/4,881,930
  6. Step 6: Final answer
    x = 21,353,084.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.