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Finding the Third Proportional to 44,401,421 and 106,968,011

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Solution

The third proportional to 44,401,421 and 106,968,011 is: 257,697,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,401,421 : 106,968,011 = 106,968,011 : x
  2. Step 2: Convert to fraction form
    44,401,421/106,968,011 = 106,968,011/x
  3. Step 3: Cross multiply
    44,401,421x = 106,968,011 × 106,968,011
  4. Step 4: Simplify right side
    44,401,421x = 11,442,155,377,296,120
  5. Step 5: Solve for x
    x = 11,442,155,377,296,120/44,401,421
  6. Step 6: Final answer
    x = 257,697,954.70

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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.