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Finding the Third Proportional to 21,674,883 and 32,406,052.50

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Solution

The third proportional to 21,674,883 and 32,406,052.50 is: 48,450,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674,883 : 32,406,052.50 = 32,406,052.50 : x
  2. Step 2: Convert to fraction form
    21,674,883/32,406,052.50 = 32,406,052.50/x
  3. Step 3: Cross multiply
    21,674,883x = 32,406,052.50 × 32,406,052.50
  4. Step 4: Simplify right side
    21,674,883x = 1,050,152,238,632,756.25
  5. Step 5: Solve for x
    x = 1,050,152,238,632,756.25/21,674,883
  6. Step 6: Final answer
    x = 48,450,191.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.