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Finding the Third Proportional to 2,429,498.25 and 5,624,437.50

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Solution

The third proportional to 2,429,498.25 and 5,624,437.50 is: 13,020,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,498.25 : 5,624,437.50 = 5,624,437.50 : x
  2. Step 2: Convert to fraction form
    2,429,498.25/5,624,437.50 = 5,624,437.50/x
  3. Step 3: Cross multiply
    2,429,498.25x = 5,624,437.50 × 5,624,437.50
  4. Step 4: Simplify right side
    2,429,498.25x = 31,634,297,191,406.25
  5. Step 5: Solve for x
    x = 31,634,297,191,406.25/2,429,498.25
  6. Step 6: Final answer
    x = 13,020,917.88

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.