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Finding the Third Proportional to 4,370,769 and 6,841,453.50

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Solution

The third proportional to 4,370,769 and 6,841,453.50 is: 10,708,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370,769 : 6,841,453.50 = 6,841,453.50 : x
  2. Step 2: Convert to fraction form
    4,370,769/6,841,453.50 = 6,841,453.50/x
  3. Step 3: Cross multiply
    4,370,769x = 6,841,453.50 × 6,841,453.50
  4. Step 4: Simplify right side
    4,370,769x = 46,805,485,992,662.25
  5. Step 5: Solve for x
    x = 46,805,485,992,662.25/4,370,769
  6. Step 6: Final answer
    x = 10,708,753.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.