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Finding the Third Proportional to 16,647,523,080 and 24,052,796,007

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Solution

The third proportional to 16,647,523,080 and 24,052,796,007 is: 34,752,136,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647,523,080 : 24,052,796,007 = 24,052,796,007 : x
  2. Step 2: Convert to fraction form
    16,647,523,080/24,052,796,007 = 24,052,796,007/x
  3. Step 3: Cross multiply
    16,647,523,080x = 24,052,796,007 × 24,052,796,007
  4. Step 4: Simplify right side
    16,647,523,080x = 578,536,995,754,355,130,368
  5. Step 5: Solve for x
    x = 578,536,995,754,355,130,368/16,647,523,080
  6. Step 6: Final answer
    x = 34,752,136,577.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.