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Finding the Third Proportional to 7,769,308.50 and 12,187,743.75

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Solution

The third proportional to 7,769,308.50 and 12,187,743.75 is: 19,118,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,308.50 : 12,187,743.75 = 12,187,743.75 : x
  2. Step 2: Convert to fraction form
    7,769,308.50/12,187,743.75 = 12,187,743.75/x
  3. Step 3: Cross multiply
    7,769,308.50x = 12,187,743.75 × 12,187,743.75
  4. Step 4: Simplify right side
    7,769,308.50x = 148,541,097,715,664.06
  5. Step 5: Solve for x
    x = 148,541,097,715,664.06/7,769,308.50
  6. Step 6: Final answer
    x = 19,118,959.91

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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.