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Finding the Third Proportional to 24,563,836,213 and 35,102,362,024

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Solution

The third proportional to 24,563,836,213 and 35,102,362,024 is: 50,162,190,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563,836,213 : 35,102,362,024 = 35,102,362,024 : x
  2. Step 2: Convert to fraction form
    24,563,836,213/35,102,362,024 = 35,102,362,024/x
  3. Step 3: Cross multiply
    24,563,836,213x = 35,102,362,024 × 35,102,362,024
  4. Step 4: Simplify right side
    24,563,836,213x = 1,232,175,819,663,957,295,104
  5. Step 5: Solve for x
    x = 1,232,175,819,663,957,295,104/24,563,836,213
  6. Step 6: Final answer
    x = 50,162,190,017.04

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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.