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Finding the Third Proportional to 10,430,949.75 and 21,156,678

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Solution

The third proportional to 10,430,949.75 and 21,156,678 is: 42,911,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430,949.75 : 21,156,678 = 21,156,678 : x
  2. Step 2: Convert to fraction form
    10,430,949.75/21,156,678 = 21,156,678/x
  3. Step 3: Cross multiply
    10,430,949.75x = 21,156,678 × 21,156,678
  4. Step 4: Simplify right side
    10,430,949.75x = 447,605,023,995,684
  5. Step 5: Solve for x
    x = 447,605,023,995,684/10,430,949.75
  6. Step 6: Final answer
    x = 42,911,243.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.