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Finding the Third Proportional to 8,144,894 and 11,968,020

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Solution

The third proportional to 8,144,894 and 11,968,020 is: 17,585,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144,894 : 11,968,020 = 11,968,020 : x
  2. Step 2: Convert to fraction form
    8,144,894/11,968,020 = 11,968,020/x
  3. Step 3: Cross multiply
    8,144,894x = 11,968,020 × 11,968,020
  4. Step 4: Simplify right side
    8,144,894x = 143,233,502,720,400
  5. Step 5: Solve for x
    x = 143,233,502,720,400/8,144,894
  6. Step 6: Final answer
    x = 17,585,680.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.