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Finding the Third Proportional to 1,823,938,906 and 3,698,631,055

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Solution

The third proportional to 1,823,938,906 and 3,698,631,055 is: 7,500,180,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,938,906 : 3,698,631,055 = 3,698,631,055 : x
  2. Step 2: Convert to fraction form
    1,823,938,906/3,698,631,055 = 3,698,631,055/x
  3. Step 3: Cross multiply
    1,823,938,906x = 3,698,631,055 × 3,698,631,055
  4. Step 4: Simplify right side
    1,823,938,906x = 13,679,871,681,010,413,568
  5. Step 5: Solve for x
    x = 13,679,871,681,010,413,568/1,823,938,906
  6. Step 6: Final answer
    x = 7,500,180,864.62

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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.