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Finding the Third Proportional to 6,405,425,868 and 13,846,871,532

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Solution

The third proportional to 6,405,425,868 and 13,846,871,532 is: 29,933,349,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405,425,868 : 13,846,871,532 = 13,846,871,532 : x
  2. Step 2: Convert to fraction form
    6,405,425,868/13,846,871,532 = 13,846,871,532/x
  3. Step 3: Cross multiply
    6,405,425,868x = 13,846,871,532 × 13,846,871,532
  4. Step 4: Simplify right side
    6,405,425,868x = 191,735,851,223,712,038,912
  5. Step 5: Solve for x
    x = 191,735,851,223,712,038,912/6,405,425,868
  6. Step 6: Final answer
    x = 29,933,349,503.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.