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Finding the Third Proportional to 9,277,908 and 13,638,807

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Solution

The third proportional to 9,277,908 and 13,638,807 is: 20,049,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,908 : 13,638,807 = 13,638,807 : x
  2. Step 2: Convert to fraction form
    9,277,908/13,638,807 = 13,638,807/x
  3. Step 3: Cross multiply
    9,277,908x = 13,638,807 × 13,638,807
  4. Step 4: Simplify right side
    9,277,908x = 186,017,056,383,249
  5. Step 5: Solve for x
    x = 186,017,056,383,249/9,277,908
  6. Step 6: Final answer
    x = 20,049,461.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.