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Finding the Third Proportional to 32,127,313.50 and 48,944,254.50

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Solution

The third proportional to 32,127,313.50 and 48,944,254.50 is: 74,563,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,127,313.50 : 48,944,254.50 = 48,944,254.50 : x
  2. Step 2: Convert to fraction form
    32,127,313.50/48,944,254.50 = 48,944,254.50/x
  3. Step 3: Cross multiply
    32,127,313.50x = 48,944,254.50 × 48,944,254.50
  4. Step 4: Simplify right side
    32,127,313.50x = 2,395,540,048,560,770
  5. Step 5: Solve for x
    x = 2,395,540,048,560,770/32,127,313.50
  6. Step 6: Final answer
    x = 74,563,970.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.