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Finding the Third Proportional to 6,768,819 and 14,772,348

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Solution

The third proportional to 6,768,819 and 14,772,348 is: 32,239,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,819 : 14,772,348 = 14,772,348 : x
  2. Step 2: Convert to fraction form
    6,768,819/14,772,348 = 14,772,348/x
  3. Step 3: Cross multiply
    6,768,819x = 14,772,348 × 14,772,348
  4. Step 4: Simplify right side
    6,768,819x = 218,222,265,433,104
  5. Step 5: Solve for x
    x = 218,222,265,433,104/6,768,819
  6. Step 6: Final answer
    x = 32,239,341.23

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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.