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Finding the Third Proportional to 6,843,370 and 14,697,620

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Solution

The third proportional to 6,843,370 and 14,697,620 is: 31,566,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843,370 : 14,697,620 = 14,697,620 : x
  2. Step 2: Convert to fraction form
    6,843,370/14,697,620 = 14,697,620/x
  3. Step 3: Cross multiply
    6,843,370x = 14,697,620 × 14,697,620
  4. Step 4: Simplify right side
    6,843,370x = 216,020,033,664,400
  5. Step 5: Solve for x
    x = 216,020,033,664,400/6,843,370
  6. Step 6: Final answer
    x = 31,566,323.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.