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Finding the Third Proportional to 8,474,938,010 and 13,954,871,847

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Solution

The third proportional to 8,474,938,010 and 13,954,871,847 is: 22,978,156,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474,938,010 : 13,954,871,847 = 13,954,871,847 : x
  2. Step 2: Convert to fraction form
    8,474,938,010/13,954,871,847 = 13,954,871,847/x
  3. Step 3: Cross multiply
    8,474,938,010x = 13,954,871,847 × 13,954,871,847
  4. Step 4: Simplify right side
    8,474,938,010x = 194,738,448,266,193,207,296
  5. Step 5: Solve for x
    x = 194,738,448,266,193,207,296/8,474,938,010
  6. Step 6: Final answer
    x = 22,978,156,068.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.