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Finding the Third Proportional to 195,485,477 and 286,837,747

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Solution

The third proportional to 195,485,477 and 286,837,747 is: 420,879,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,485,477 : 286,837,747 = 286,837,747 : x
  2. Step 2: Convert to fraction form
    195,485,477/286,837,747 = 286,837,747/x
  3. Step 3: Cross multiply
    195,485,477x = 286,837,747 × 286,837,747
  4. Step 4: Simplify right side
    195,485,477x = 82,275,893,104,036,016
  5. Step 5: Solve for x
    x = 82,275,893,104,036,016/195,485,477
  6. Step 6: Final answer
    x = 420,879,823.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.