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Finding the Third Proportional to 6,638,220 and 14,482,826

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Solution

The third proportional to 6,638,220 and 14,482,826 is: 31,597,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638,220 : 14,482,826 = 14,482,826 : x
  2. Step 2: Convert to fraction form
    6,638,220/14,482,826 = 14,482,826/x
  3. Step 3: Cross multiply
    6,638,220x = 14,482,826 × 14,482,826
  4. Step 4: Simplify right side
    6,638,220x = 209,752,248,946,276
  5. Step 5: Solve for x
    x = 209,752,248,946,276/6,638,220
  6. Step 6: Final answer
    x = 31,597,664.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.