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Finding the Third Proportional to 24,782,454 and 34,837,497

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Solution

The third proportional to 24,782,454 and 34,837,497 is: 48,972,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782,454 : 34,837,497 = 34,837,497 : x
  2. Step 2: Convert to fraction form
    24,782,454/34,837,497 = 34,837,497/x
  3. Step 3: Cross multiply
    24,782,454x = 34,837,497 × 34,837,497
  4. Step 4: Simplify right side
    24,782,454x = 1,213,651,197,225,009
  5. Step 5: Solve for x
    x = 1,213,651,197,225,009/24,782,454
  6. Step 6: Final answer
    x = 48,972,196.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.