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Finding the Third Proportional to 4,206,170.95 and 9,130,199.34

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Solution

The third proportional to 4,206,170.95 and 9,130,199.34 is: 19,818,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,170.95 : 9,130,199.34 = 9,130,199.34 : x
  2. Step 2: Convert to fraction form
    4,206,170.95/9,130,199.34 = 9,130,199.34/x
  3. Step 3: Cross multiply
    4,206,170.95x = 9,130,199.34 × 9,130,199.34
  4. Step 4: Simplify right side
    4,206,170.95x = 83,360,540,056,612.94
  5. Step 5: Solve for x
    x = 83,360,540,056,612.94/4,206,170.95
  6. Step 6: Final answer
    x = 19,818,628.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.