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Finding the Third Proportional to 10,120,764 and 22,038,512

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Solution

The third proportional to 10,120,764 and 22,038,512 is: 47,990,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,764 : 22,038,512 = 22,038,512 : x
  2. Step 2: Convert to fraction form
    10,120,764/22,038,512 = 22,038,512/x
  3. Step 3: Cross multiply
    10,120,764x = 22,038,512 × 22,038,512
  4. Step 4: Simplify right side
    10,120,764x = 485,696,011,174,144
  5. Step 5: Solve for x
    x = 485,696,011,174,144/10,120,764
  6. Step 6: Final answer
    x = 47,990,054.03

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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.