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Finding the Third Proportional to 2,141,968.50 and 4,636,610.81

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Solution

The third proportional to 2,141,968.50 and 4,636,610.81 is: 10,036,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,968.50 : 4,636,610.81 = 4,636,610.81 : x
  2. Step 2: Convert to fraction form
    2,141,968.50/4,636,610.81 = 4,636,610.81/x
  3. Step 3: Cross multiply
    2,141,968.50x = 4,636,610.81 × 4,636,610.81
  4. Step 4: Simplify right side
    2,141,968.50x = 21,498,159,826,591.91
  5. Step 5: Solve for x
    x = 21,498,159,826,591.91/2,141,968.50
  6. Step 6: Final answer
    x = 10,036,636.78

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