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Finding the Third Proportional to 9,464,574 and 14,641,344

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Solution

The third proportional to 9,464,574 and 14,641,344 is: 22,649,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,574 : 14,641,344 = 14,641,344 : x
  2. Step 2: Convert to fraction form
    9,464,574/14,641,344 = 14,641,344/x
  3. Step 3: Cross multiply
    9,464,574x = 14,641,344 × 14,641,344
  4. Step 4: Simplify right side
    9,464,574x = 214,368,954,126,336
  5. Step 5: Solve for x
    x = 214,368,954,126,336/9,464,574
  6. Step 6: Final answer
    x = 22,649,614.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.