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Finding the Third Proportional to 7,757,974.13 and 16,461,599.63

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Solution

The third proportional to 7,757,974.13 and 16,461,599.63 is: 34,929,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757,974.13 : 16,461,599.63 = 16,461,599.63 : x
  2. Step 2: Convert to fraction form
    7,757,974.13/16,461,599.63 = 16,461,599.63/x
  3. Step 3: Cross multiply
    7,757,974.13x = 16,461,599.63 × 16,461,599.63
  4. Step 4: Simplify right side
    7,757,974.13x = 270,984,262,213,800.12
  5. Step 5: Solve for x
    x = 270,984,262,213,800.12/7,757,974.13
  6. Step 6: Final answer
    x = 34,929,771.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.