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Finding the Third Proportional to 4,735,477 and 10,227,614

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Solution

The third proportional to 4,735,477 and 10,227,614 is: 22,089,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,477 : 10,227,614 = 10,227,614 : x
  2. Step 2: Convert to fraction form
    4,735,477/10,227,614 = 10,227,614/x
  3. Step 3: Cross multiply
    4,735,477x = 10,227,614 × 10,227,614
  4. Step 4: Simplify right side
    4,735,477x = 104,604,088,132,996
  5. Step 5: Solve for x
    x = 104,604,088,132,996/4,735,477
  6. Step 6: Final answer
    x = 22,089,451.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.