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Finding the Third Proportional to 664,683,304.50 and 1,538,621,572.50

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Solution

The third proportional to 664,683,304.50 and 1,538,621,572.50 is: 3,561,630,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,683,304.50 : 1,538,621,572.50 = 1,538,621,572.50 : x
  2. Step 2: Convert to fraction form
    664,683,304.50/1,538,621,572.50 = 1,538,621,572.50/x
  3. Step 3: Cross multiply
    664,683,304.50x = 1,538,621,572.50 × 1,538,621,572.50
  4. Step 4: Simplify right side
    664,683,304.50x = 2,367,356,343,362,372,608
  5. Step 5: Solve for x
    x = 2,367,356,343,362,372,608/664,683,304.50
  6. Step 6: Final answer
    x = 3,561,630,519.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.