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Finding the Third Proportional to 3,670,020 and 8,634,823

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Solution

The third proportional to 3,670,020 and 8,634,823 is: 20,316,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,020 : 8,634,823 = 8,634,823 : x
  2. Step 2: Convert to fraction form
    3,670,020/8,634,823 = 8,634,823/x
  3. Step 3: Cross multiply
    3,670,020x = 8,634,823 × 8,634,823
  4. Step 4: Simplify right side
    3,670,020x = 74,560,168,241,329
  5. Step 5: Solve for x
    x = 74,560,168,241,329/3,670,020
  6. Step 6: Final answer
    x = 20,316,011.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.