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Finding the Third Proportional to 1,823,939,019 and 3,698,631,270

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Solution

The third proportional to 1,823,939,019 and 3,698,631,270 is: 7,500,181,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,939,019 : 3,698,631,270 = 3,698,631,270 : x
  2. Step 2: Convert to fraction form
    1,823,939,019/3,698,631,270 = 3,698,631,270/x
  3. Step 3: Cross multiply
    1,823,939,019x = 3,698,631,270 × 3,698,631,270
  4. Step 4: Simplify right side
    1,823,939,019x = 13,679,873,271,421,812,736
  5. Step 5: Solve for x
    x = 13,679,873,271,421,812,736/1,823,939,019
  6. Step 6: Final answer
    x = 7,500,181,271.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.