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Finding the Third Proportional to 8,506,186 and 18,665,743

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Solution

The third proportional to 8,506,186 and 18,665,743 is: 40,959,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,186 : 18,665,743 = 18,665,743 : x
  2. Step 2: Convert to fraction form
    8,506,186/18,665,743 = 18,665,743/x
  3. Step 3: Cross multiply
    8,506,186x = 18,665,743 × 18,665,743
  4. Step 4: Simplify right side
    8,506,186x = 348,409,961,742,049
  5. Step 5: Solve for x
    x = 348,409,961,742,049/8,506,186
  6. Step 6: Final answer
    x = 40,959,598.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.