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Finding the Third Proportional to 8,806,461 and 12,401,433

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Solution

The third proportional to 8,806,461 and 12,401,433 is: 17,463,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806,461 : 12,401,433 = 12,401,433 : x
  2. Step 2: Convert to fraction form
    8,806,461/12,401,433 = 12,401,433/x
  3. Step 3: Cross multiply
    8,806,461x = 12,401,433 × 12,401,433
  4. Step 4: Simplify right side
    8,806,461x = 153,795,540,453,489
  5. Step 5: Solve for x
    x = 153,795,540,453,489/8,806,461
  6. Step 6: Final answer
    x = 17,463,943.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.