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Finding the Third Proportional to 11,178,378 and 22,767,840

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Solution

The third proportional to 11,178,378 and 22,767,840 is: 46,372,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178,378 : 22,767,840 = 22,767,840 : x
  2. Step 2: Convert to fraction form
    11,178,378/22,767,840 = 22,767,840/x
  3. Step 3: Cross multiply
    11,178,378x = 22,767,840 × 22,767,840
  4. Step 4: Simplify right side
    11,178,378x = 518,374,538,265,600
  5. Step 5: Solve for x
    x = 518,374,538,265,600/11,178,378
  6. Step 6: Final answer
    x = 46,372,965.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.