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Finding the Third Proportional to 2,738,360 and 6,106,354

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Solution

The third proportional to 2,738,360 and 6,106,354 is: 13,616,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,360 : 6,106,354 = 6,106,354 : x
  2. Step 2: Convert to fraction form
    2,738,360/6,106,354 = 6,106,354/x
  3. Step 3: Cross multiply
    2,738,360x = 6,106,354 × 6,106,354
  4. Step 4: Simplify right side
    2,738,360x = 37,287,559,173,316
  5. Step 5: Solve for x
    x = 37,287,559,173,316/2,738,360
  6. Step 6: Final answer
    x = 13,616,748.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.