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Finding the Third Proportional to 9,518,613 and 14,299,020

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Solution

The third proportional to 9,518,613 and 14,299,020 is: 21,480,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518,613 : 14,299,020 = 14,299,020 : x
  2. Step 2: Convert to fraction form
    9,518,613/14,299,020 = 14,299,020/x
  3. Step 3: Cross multiply
    9,518,613x = 14,299,020 × 14,299,020
  4. Step 4: Simplify right side
    9,518,613x = 204,461,972,960,400
  5. Step 5: Solve for x
    x = 204,461,972,960,400/9,518,613
  6. Step 6: Final answer
    x = 21,480,227.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.