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Finding the Third Proportional to 24,190,563,829.50 and 33,635,045,388

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Solution

The third proportional to 24,190,563,829.50 and 33,635,045,388 is: 46,766,842,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190,563,829.50 : 33,635,045,388 = 33,635,045,388 : x
  2. Step 2: Convert to fraction form
    24,190,563,829.50/33,635,045,388 = 33,635,045,388/x
  3. Step 3: Cross multiply
    24,190,563,829.50x = 33,635,045,388 × 33,635,045,388
  4. Step 4: Simplify right side
    24,190,563,829.50x = 1,131,316,278,252,820,103,168
  5. Step 5: Solve for x
    x = 1,131,316,278,252,820,103,168/24,190,563,829.50
  6. Step 6: Final answer
    x = 46,766,842,072.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.