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Finding the Third Proportional to 3,190,785 and 6,830,106

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Solution

The third proportional to 3,190,785 and 6,830,106 is: 14,620,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,785 : 6,830,106 = 6,830,106 : x
  2. Step 2: Convert to fraction form
    3,190,785/6,830,106 = 6,830,106/x
  3. Step 3: Cross multiply
    3,190,785x = 6,830,106 × 6,830,106
  4. Step 4: Simplify right side
    3,190,785x = 46,650,347,971,236
  5. Step 5: Solve for x
    x = 46,650,347,971,236/3,190,785
  6. Step 6: Final answer
    x = 14,620,335.74

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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.