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Finding the Third Proportional to 23,635,083 and 51,411,249

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Solution

The third proportional to 23,635,083 and 51,411,249 is: 111,830,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,083 : 51,411,249 = 51,411,249 : x
  2. Step 2: Convert to fraction form
    23,635,083/51,411,249 = 51,411,249/x
  3. Step 3: Cross multiply
    23,635,083x = 51,411,249 × 51,411,249
  4. Step 4: Simplify right side
    23,635,083x = 2,643,116,523,740,001
  5. Step 5: Solve for x
    x = 2,643,116,523,740,001/23,635,083
  6. Step 6: Final answer
    x = 111,830,219.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.