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Finding the Third Proportional to 4,765,603,716 and 10,389,284,226

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Solution

The third proportional to 4,765,603,716 and 10,389,284,226 is: 22,649,224,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765,603,716 : 10,389,284,226 = 10,389,284,226 : x
  2. Step 2: Convert to fraction form
    4,765,603,716/10,389,284,226 = 10,389,284,226/x
  3. Step 3: Cross multiply
    4,765,603,716x = 10,389,284,226 × 10,389,284,226
  4. Step 4: Simplify right side
    4,765,603,716x = 107,937,226,728,612,413,440
  5. Step 5: Solve for x
    x = 107,937,226,728,612,413,440/4,765,603,716
  6. Step 6: Final answer
    x = 22,649,224,140.53

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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.