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Finding the Third Proportional to 82,506,810 and 174,848,922

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Solution

The third proportional to 82,506,810 and 174,848,922 is: 370,540,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506,810 : 174,848,922 = 174,848,922 : x
  2. Step 2: Convert to fraction form
    82,506,810/174,848,922 = 174,848,922/x
  3. Step 3: Cross multiply
    82,506,810x = 174,848,922 × 174,848,922
  4. Step 4: Simplify right side
    82,506,810x = 30,572,145,524,562,084
  5. Step 5: Solve for x
    x = 30,572,145,524,562,084/82,506,810
  6. Step 6: Final answer
    x = 370,540,874.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.