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Finding the Third Proportional to 1,523,257,869 and 3,316,938,902

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Solution

The third proportional to 1,523,257,869 and 3,316,938,902 is: 7,222,732,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,257,869 : 3,316,938,902 = 3,316,938,902 : x
  2. Step 2: Convert to fraction form
    1,523,257,869/3,316,938,902 = 3,316,938,902/x
  3. Step 3: Cross multiply
    1,523,257,869x = 3,316,938,902 × 3,316,938,902
  4. Step 4: Simplify right side
    1,523,257,869x = 11,002,083,679,600,965,632
  5. Step 5: Solve for x
    x = 11,002,083,679,600,965,632/1,523,257,869
  6. Step 6: Final answer
    x = 7,222,732,213.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.