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Finding the Third Proportional to 5,804,786.50 and 13,555,153.50

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Solution

The third proportional to 5,804,786.50 and 13,555,153.50 is: 31,653,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804,786.50 : 13,555,153.50 = 13,555,153.50 : x
  2. Step 2: Convert to fraction form
    5,804,786.50/13,555,153.50 = 13,555,153.50/x
  3. Step 3: Cross multiply
    5,804,786.50x = 13,555,153.50 × 13,555,153.50
  4. Step 4: Simplify right side
    5,804,786.50x = 183,742,186,408,562.25
  5. Step 5: Solve for x
    x = 183,742,186,408,562.25/5,804,786.50
  6. Step 6: Final answer
    x = 31,653,564.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.