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Finding the Third Proportional to 9,776,401 and 14,790,431

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Solution

The third proportional to 9,776,401 and 14,790,431 is: 22,376,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,401 : 14,790,431 = 14,790,431 : x
  2. Step 2: Convert to fraction form
    9,776,401/14,790,431 = 14,790,431/x
  3. Step 3: Cross multiply
    9,776,401x = 14,790,431 × 14,790,431
  4. Step 4: Simplify right side
    9,776,401x = 218,756,849,165,761
  5. Step 5: Solve for x
    x = 218,756,849,165,761/9,776,401
  6. Step 6: Final answer
    x = 22,376,010.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.