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Finding the Third Proportional to 3,628,507,813,884 and 7,774,572,692,232

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Solution

The third proportional to 3,628,507,813,884 and 7,774,572,692,232 is: 16,658,081,957,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628,507,813,884 : 7,774,572,692,232 = 7,774,572,692,232 : x
  2. Step 2: Convert to fraction form
    3,628,507,813,884/7,774,572,692,232 = 7,774,572,692,232/x
  3. Step 3: Cross multiply
    3,628,507,813,884x = 7,774,572,692,232 × 7,774,572,692,232
  4. Step 4: Simplify right side
    3,628,507,813,884x = 60,443,980,546,799,524,451,975,168
  5. Step 5: Solve for x
    x = 60,443,980,546,799,524,451,975,168/3,628,507,813,884
  6. Step 6: Final answer
    x = 16,658,081,957,414.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.