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Finding the Third Proportional to 10,120,741 and 22,038,467

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Solution

The third proportional to 10,120,741 and 22,038,467 is: 47,989,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,741 : 22,038,467 = 22,038,467 : x
  2. Step 2: Convert to fraction form
    10,120,741/22,038,467 = 22,038,467/x
  3. Step 3: Cross multiply
    10,120,741x = 22,038,467 × 22,038,467
  4. Step 4: Simplify right side
    10,120,741x = 485,694,027,710,089
  5. Step 5: Solve for x
    x = 485,694,027,710,089/10,120,741
  6. Step 6: Final answer
    x = 47,989,967.11

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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.