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Finding the Third Proportional to 4,908,466 and 11,464,156

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Solution

The third proportional to 4,908,466 and 11,464,156 is: 26,775,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908,466 : 11,464,156 = 11,464,156 : x
  2. Step 2: Convert to fraction form
    4,908,466/11,464,156 = 11,464,156/x
  3. Step 3: Cross multiply
    4,908,466x = 11,464,156 × 11,464,156
  4. Step 4: Simplify right side
    4,908,466x = 131,426,872,792,336
  5. Step 5: Solve for x
    x = 131,426,872,792,336/4,908,466
  6. Step 6: Final answer
    x = 26,775,549.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.