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Finding the Third Proportional to 4,010,202 and 8,659,603.50

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Solution

The third proportional to 4,010,202 and 8,659,603.50 is: 18,699,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,202 : 8,659,603.50 = 8,659,603.50 : x
  2. Step 2: Convert to fraction form
    4,010,202/8,659,603.50 = 8,659,603.50/x
  3. Step 3: Cross multiply
    4,010,202x = 8,659,603.50 × 8,659,603.50
  4. Step 4: Simplify right side
    4,010,202x = 74,988,732,777,212.25
  5. Step 5: Solve for x
    x = 74,988,732,777,212.25/4,010,202
  6. Step 6: Final answer
    x = 18,699,490.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.