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Finding the Third Proportional to 11,661,658 and 24,068,534

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Solution

The third proportional to 11,661,658 and 24,068,534 is: 49,675,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661,658 : 24,068,534 = 24,068,534 : x
  2. Step 2: Convert to fraction form
    11,661,658/24,068,534 = 24,068,534/x
  3. Step 3: Cross multiply
    11,661,658x = 24,068,534 × 24,068,534
  4. Step 4: Simplify right side
    11,661,658x = 579,294,328,909,156
  5. Step 5: Solve for x
    x = 579,294,328,909,156/11,661,658
  6. Step 6: Final answer
    x = 49,675,125.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.