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Finding the Third Proportional to 10,738,368 and 23,598,720

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Solution

The third proportional to 10,738,368 and 23,598,720 is: 51,860,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738,368 : 23,598,720 = 23,598,720 : x
  2. Step 2: Convert to fraction form
    10,738,368/23,598,720 = 23,598,720/x
  3. Step 3: Cross multiply
    10,738,368x = 23,598,720 × 23,598,720
  4. Step 4: Simplify right side
    10,738,368x = 556,899,585,638,400
  5. Step 5: Solve for x
    x = 556,899,585,638,400/10,738,368
  6. Step 6: Final answer
    x = 51,860,728.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.