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Finding the Third Proportional to 658,221,363 and 1,370,923,731

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Solution

The third proportional to 658,221,363 and 1,370,923,731 is: 2,855,318,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,221,363 : 1,370,923,731 = 1,370,923,731 : x
  2. Step 2: Convert to fraction form
    658,221,363/1,370,923,731 = 1,370,923,731/x
  3. Step 3: Cross multiply
    658,221,363x = 1,370,923,731 × 1,370,923,731
  4. Step 4: Simplify right side
    658,221,363x = 1,879,431,876,218,960,384
  5. Step 5: Solve for x
    x = 1,879,431,876,218,960,384/658,221,363
  6. Step 6: Final answer
    x = 2,855,318,866.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.