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Finding the Third Proportional to 4,809,735 and 10,581,406.50

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Solution

The third proportional to 4,809,735 and 10,581,406.50 is: 23,279,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809,735 : 10,581,406.50 = 10,581,406.50 : x
  2. Step 2: Convert to fraction form
    4,809,735/10,581,406.50 = 10,581,406.50/x
  3. Step 3: Cross multiply
    4,809,735x = 10,581,406.50 × 10,581,406.50
  4. Step 4: Simplify right side
    4,809,735x = 111,966,163,518,242.25
  5. Step 5: Solve for x
    x = 111,966,163,518,242.25/4,809,735
  6. Step 6: Final answer
    x = 23,279,071.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.