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Finding the Third Proportional to 5,867,465 and 9,336,290

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Solution

The third proportional to 5,867,465 and 9,336,290 is: 14,855,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,465 : 9,336,290 = 9,336,290 : x
  2. Step 2: Convert to fraction form
    5,867,465/9,336,290 = 9,336,290/x
  3. Step 3: Cross multiply
    5,867,465x = 9,336,290 × 9,336,290
  4. Step 4: Simplify right side
    5,867,465x = 87,166,310,964,100
  5. Step 5: Solve for x
    x = 87,166,310,964,100/5,867,465
  6. Step 6: Final answer
    x = 14,855,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.