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Finding the Third Proportional to 6,768,830 and 14,772,370

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Solution

The third proportional to 6,768,830 and 14,772,370 is: 32,239,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,830 : 14,772,370 = 14,772,370 : x
  2. Step 2: Convert to fraction form
    6,768,830/14,772,370 = 14,772,370/x
  3. Step 3: Cross multiply
    6,768,830x = 14,772,370 × 14,772,370
  4. Step 4: Simplify right side
    6,768,830x = 218,222,915,416,900
  5. Step 5: Solve for x
    x = 218,222,915,416,900/6,768,830
  6. Step 6: Final answer
    x = 32,239,384.86

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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.