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Finding the Third Proportional to 1,180,652,181 and 2,583,713,351

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Solution

The third proportional to 1,180,652,181 and 2,583,713,351 is: 5,654,141,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,652,181 : 2,583,713,351 = 2,583,713,351 : x
  2. Step 2: Convert to fraction form
    1,180,652,181/2,583,713,351 = 2,583,713,351/x
  3. Step 3: Cross multiply
    1,180,652,181x = 2,583,713,351 × 2,583,713,351
  4. Step 4: Simplify right side
    1,180,652,181x = 6,675,574,680,135,649,280
  5. Step 5: Solve for x
    x = 6,675,574,680,135,649,280/1,180,652,181
  6. Step 6: Final answer
    x = 5,654,141,657.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.