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Finding the Third Proportional to 9,748,306 and 13,628,037

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Solution

The third proportional to 9,748,306 and 13,628,037 is: 19,051,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,306 : 13,628,037 = 13,628,037 : x
  2. Step 2: Convert to fraction form
    9,748,306/13,628,037 = 13,628,037/x
  3. Step 3: Cross multiply
    9,748,306x = 13,628,037 × 13,628,037
  4. Step 4: Simplify right side
    9,748,306x = 185,723,392,473,369
  5. Step 5: Solve for x
    x = 185,723,392,473,369/9,748,306
  6. Step 6: Final answer
    x = 19,051,863.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.