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Finding the Third Proportional to 7,347,811.22 and 10,277,139.09

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Solution

The third proportional to 7,347,811.22 and 10,277,139.09 is: 14,374,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347,811.22 : 10,277,139.09 = 10,277,139.09 : x
  2. Step 2: Convert to fraction form
    7,347,811.22/10,277,139.09 = 10,277,139.09/x
  3. Step 3: Cross multiply
    7,347,811.22x = 10,277,139.09 × 10,277,139.09
  4. Step 4: Simplify right side
    7,347,811.22x = 105,619,587,952,284.58
  5. Step 5: Solve for x
    x = 105,619,587,952,284.58/7,347,811.22
  6. Step 6: Final answer
    x = 14,374,292.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.