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Finding the Third Proportional to 7,789,298.06 and 18,030,814.59

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Solution

The third proportional to 7,789,298.06 and 18,030,814.59 is: 41,738,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789,298.06 : 18,030,814.59 = 18,030,814.59 : x
  2. Step 2: Convert to fraction form
    7,789,298.06/18,030,814.59 = 18,030,814.59/x
  3. Step 3: Cross multiply
    7,789,298.06x = 18,030,814.59 × 18,030,814.59
  4. Step 4: Simplify right side
    7,789,298.06x = 325,110,274,914,188
  5. Step 5: Solve for x
    x = 325,110,274,914,188/7,789,298.06
  6. Step 6: Final answer
    x = 41,738,070.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.