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Finding the Third Proportional to 4,734,931 and 10,594,214

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Solution

The third proportional to 4,734,931 and 10,594,214 is: 23,704,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,931 : 10,594,214 = 10,594,214 : x
  2. Step 2: Convert to fraction form
    4,734,931/10,594,214 = 10,594,214/x
  3. Step 3: Cross multiply
    4,734,931x = 10,594,214 × 10,594,214
  4. Step 4: Simplify right side
    4,734,931x = 112,237,370,277,796
  5. Step 5: Solve for x
    x = 112,237,370,277,796/4,734,931
  6. Step 6: Final answer
    x = 23,704,119.51

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.