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Finding the Third Proportional to 23,635,036 and 51,411,176

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Solution

The third proportional to 23,635,036 and 51,411,176 is: 111,830,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,036 : 51,411,176 = 51,411,176 : x
  2. Step 2: Convert to fraction form
    23,635,036/51,411,176 = 51,411,176/x
  3. Step 3: Cross multiply
    23,635,036x = 51,411,176 × 51,411,176
  4. Step 4: Simplify right side
    23,635,036x = 2,643,109,017,702,976
  5. Step 5: Solve for x
    x = 2,643,109,017,702,976/23,635,036
  6. Step 6: Final answer
    x = 111,830,124.47

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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.