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Finding the Third Proportional to 4,526,298 and 9,699,778.50

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Solution

The third proportional to 4,526,298 and 9,699,778.50 is: 20,786,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,298 : 9,699,778.50 = 9,699,778.50 : x
  2. Step 2: Convert to fraction form
    4,526,298/9,699,778.50 = 9,699,778.50/x
  3. Step 3: Cross multiply
    4,526,298x = 9,699,778.50 × 9,699,778.50
  4. Step 4: Simplify right side
    4,526,298x = 94,085,702,949,062.25
  5. Step 5: Solve for x
    x = 94,085,702,949,062.25/4,526,298
  6. Step 6: Final answer
    x = 20,786,457.93

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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.