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Finding the Third Proportional to 24,563,836,219.50 and 35,102,362,032

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Solution

The third proportional to 24,563,836,219.50 and 35,102,362,032 is: 50,162,190,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563,836,219.50 : 35,102,362,032 = 35,102,362,032 : x
  2. Step 2: Convert to fraction form
    24,563,836,219.50/35,102,362,032 = 35,102,362,032/x
  3. Step 3: Cross multiply
    24,563,836,219.50x = 35,102,362,032 × 35,102,362,032
  4. Step 4: Simplify right side
    24,563,836,219.50x = 1,232,175,820,225,595,047,936
  5. Step 5: Solve for x
    x = 1,232,175,820,225,595,047,936/24,563,836,219.50
  6. Step 6: Final answer
    x = 50,162,190,026.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.