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Finding the Third Proportional to 4,206,174.50 and 9,130,205.50

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Solution

The third proportional to 4,206,174.50 and 9,130,205.50 is: 19,818,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,174.50 : 9,130,205.50 = 9,130,205.50 : x
  2. Step 2: Convert to fraction form
    4,206,174.50/9,130,205.50 = 9,130,205.50/x
  3. Step 3: Cross multiply
    4,206,174.50x = 9,130,205.50 × 9,130,205.50
  4. Step 4: Simplify right side
    4,206,174.50x = 83,360,652,472,230.25
  5. Step 5: Solve for x
    x = 83,360,652,472,230.25/4,206,174.50
  6. Step 6: Final answer
    x = 19,818,638.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.