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Finding the Third Proportional to 44,401,419 and 106,968,006

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Solution

The third proportional to 44,401,419 and 106,968,006 is: 257,697,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,401,419 : 106,968,006 = 106,968,006 : x
  2. Step 2: Convert to fraction form
    44,401,419/106,968,006 = 106,968,006/x
  3. Step 3: Cross multiply
    44,401,419x = 106,968,006 × 106,968,006
  4. Step 4: Simplify right side
    44,401,419x = 11,442,154,307,616,036
  5. Step 5: Solve for x
    x = 11,442,154,307,616,036/44,401,419
  6. Step 6: Final answer
    x = 257,697,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.