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Finding the Third Proportional to 11,499,430 and 24,594,419

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Solution

The third proportional to 11,499,430 and 24,594,419 is: 52,601,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499,430 : 24,594,419 = 24,594,419 : x
  2. Step 2: Convert to fraction form
    11,499,430/24,594,419 = 24,594,419/x
  3. Step 3: Cross multiply
    11,499,430x = 24,594,419 × 24,594,419
  4. Step 4: Simplify right side
    11,499,430x = 604,885,445,947,561
  5. Step 5: Solve for x
    x = 604,885,445,947,561/11,499,430
  6. Step 6: Final answer
    x = 52,601,341.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.