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Finding the Third Proportional to 4,253,196,401 and 6,144,605,281

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Solution

The third proportional to 4,253,196,401 and 6,144,605,281 is: 8,877,129,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253,196,401 : 6,144,605,281 = 6,144,605,281 : x
  2. Step 2: Convert to fraction form
    4,253,196,401/6,144,605,281 = 6,144,605,281/x
  3. Step 3: Cross multiply
    4,253,196,401x = 6,144,605,281 × 6,144,605,281
  4. Step 4: Simplify right side
    4,253,196,401x = 37,756,174,059,293,089,792
  5. Step 5: Solve for x
    x = 37,756,174,059,293,089,792/4,253,196,401
  6. Step 6: Final answer
    x = 8,877,129,222.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.