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Finding the Third Proportional to 9,329,964 and 13,914,037

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Solution

The third proportional to 9,329,964 and 13,914,037 is: 20,750,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329,964 : 13,914,037 = 13,914,037 : x
  2. Step 2: Convert to fraction form
    9,329,964/13,914,037 = 13,914,037/x
  3. Step 3: Cross multiply
    9,329,964x = 13,914,037 × 13,914,037
  4. Step 4: Simplify right side
    9,329,964x = 193,600,425,637,369
  5. Step 5: Solve for x
    x = 193,600,425,637,369/9,329,964
  6. Step 6: Final answer
    x = 20,750,393.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.