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Finding the Third Proportional to 2,214,822 and 4,736,755.50

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Solution

The third proportional to 2,214,822 and 4,736,755.50 is: 10,130,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,822 : 4,736,755.50 = 4,736,755.50 : x
  2. Step 2: Convert to fraction form
    2,214,822/4,736,755.50 = 4,736,755.50/x
  3. Step 3: Cross multiply
    2,214,822x = 4,736,755.50 × 4,736,755.50
  4. Step 4: Simplify right side
    2,214,822x = 22,436,852,666,780.25
  5. Step 5: Solve for x
    x = 22,436,852,666,780.25/2,214,822
  6. Step 6: Final answer
    x = 10,130,318.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.