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Finding the Third Proportional to 45,670,999.50 and 74,975,827.50

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Solution

The third proportional to 45,670,999.50 and 74,975,827.50 is: 123,084,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,670,999.50 : 74,975,827.50 = 74,975,827.50 : x
  2. Step 2: Convert to fraction form
    45,670,999.50/74,975,827.50 = 74,975,827.50/x
  3. Step 3: Cross multiply
    45,670,999.50x = 74,975,827.50 × 74,975,827.50
  4. Step 4: Simplify right side
    45,670,999.50x = 5,621,374,709,309,756
  5. Step 5: Solve for x
    x = 5,621,374,709,309,756/45,670,999.50
  6. Step 6: Final answer
    x = 123,084,118.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.