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Finding the Third Proportional to 4,765,603,728 and 10,389,284,247

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Solution

The third proportional to 4,765,603,728 and 10,389,284,247 is: 22,649,224,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765,603,728 : 10,389,284,247 = 10,389,284,247 : x
  2. Step 2: Convert to fraction form
    4,765,603,728/10,389,284,247 = 10,389,284,247/x
  3. Step 3: Cross multiply
    4,765,603,728x = 10,389,284,247 × 10,389,284,247
  4. Step 4: Simplify right side
    4,765,603,728x = 107,937,227,164,962,357,248
  5. Step 5: Solve for x
    x = 107,937,227,164,962,357,248/4,765,603,728
  6. Step 6: Final answer
    x = 22,649,224,175.06

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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.