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Finding the Third Proportional to 5,837,492,232 and 9,046,505,752

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Solution

The third proportional to 5,837,492,232 and 9,046,505,752 is: 14,019,593,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837,492,232 : 9,046,505,752 = 9,046,505,752 : x
  2. Step 2: Convert to fraction form
    5,837,492,232/9,046,505,752 = 9,046,505,752/x
  3. Step 3: Cross multiply
    5,837,492,232x = 9,046,505,752 × 9,046,505,752
  4. Step 4: Simplify right side
    5,837,492,232x = 81,839,266,320,969,089,024
  5. Step 5: Solve for x
    x = 81,839,266,320,969,089,024/5,837,492,232
  6. Step 6: Final answer
    x = 14,019,593,186.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.