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Finding the Third Proportional to 6,768,359 and 14,615,669

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Solution

The third proportional to 6,768,359 and 14,615,669 is: 31,561,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,359 : 14,615,669 = 14,615,669 : x
  2. Step 2: Convert to fraction form
    6,768,359/14,615,669 = 14,615,669/x
  3. Step 3: Cross multiply
    6,768,359x = 14,615,669 × 14,615,669
  4. Step 4: Simplify right side
    6,768,359x = 213,617,780,317,561
  5. Step 5: Solve for x
    x = 213,617,780,317,561/6,768,359
  6. Step 6: Final answer
    x = 31,561,236.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.