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Finding the Third Proportional to 29,699,491 and 47,258,201

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Solution

The third proportional to 29,699,491 and 47,258,201 is: 75,197,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699,491 : 47,258,201 = 47,258,201 : x
  2. Step 2: Convert to fraction form
    29,699,491/47,258,201 = 47,258,201/x
  3. Step 3: Cross multiply
    29,699,491x = 47,258,201 × 47,258,201
  4. Step 4: Simplify right side
    29,699,491x = 2,233,337,561,756,401
  5. Step 5: Solve for x
    x = 2,233,337,561,756,401/29,699,491
  6. Step 6: Final answer
    x = 75,197,839.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.