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Finding the Third Proportional to 14,630,868 and 21,734,352

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Solution

The third proportional to 14,630,868 and 21,734,352 is: 32,286,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630,868 : 21,734,352 = 21,734,352 : x
  2. Step 2: Convert to fraction form
    14,630,868/21,734,352 = 21,734,352/x
  3. Step 3: Cross multiply
    14,630,868x = 21,734,352 × 21,734,352
  4. Step 4: Simplify right side
    14,630,868x = 472,382,056,859,904
  5. Step 5: Solve for x
    x = 472,382,056,859,904/14,630,868
  6. Step 6: Final answer
    x = 32,286,673.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.