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Finding the Third Proportional to 8,896,740.75 and 19,424,497.50

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Solution

The third proportional to 8,896,740.75 and 19,424,497.50 is: 42,410,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,740.75 : 19,424,497.50 = 19,424,497.50 : x
  2. Step 2: Convert to fraction form
    8,896,740.75/19,424,497.50 = 19,424,497.50/x
  3. Step 3: Cross multiply
    8,896,740.75x = 19,424,497.50 × 19,424,497.50
  4. Step 4: Simplify right side
    8,896,740.75x = 377,311,103,127,506.25
  5. Step 5: Solve for x
    x = 377,311,103,127,506.25/8,896,740.75
  6. Step 6: Final answer
    x = 42,410,036.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.