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Finding the Third Proportional to 31,421,956.50 and 48,766,900.50

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Solution

The third proportional to 31,421,956.50 and 48,766,900.50 is: 75,686,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421,956.50 : 48,766,900.50 = 48,766,900.50 : x
  2. Step 2: Convert to fraction form
    31,421,956.50/48,766,900.50 = 48,766,900.50/x
  3. Step 3: Cross multiply
    31,421,956.50x = 48,766,900.50 × 48,766,900.50
  4. Step 4: Simplify right side
    31,421,956.50x = 2,378,210,584,376,900
  5. Step 5: Solve for x
    x = 2,378,210,584,376,900/31,421,956.50
  6. Step 6: Final answer
    x = 75,686,266.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.