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Finding the Third Proportional to 3,236,026,728,488 and 7,041,724,519,000

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Solution

The third proportional to 3,236,026,728,488 and 7,041,724,519,000 is: 15,323,076,217,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236,026,728,488 : 7,041,724,519,000 = 7,041,724,519,000 : x
  2. Step 2: Convert to fraction form
    3,236,026,728,488/7,041,724,519,000 = 7,041,724,519,000/x
  3. Step 3: Cross multiply
    3,236,026,728,488x = 7,041,724,519,000 × 7,041,724,519,000
  4. Step 4: Simplify right side
    3,236,026,728,488x = 49,585,884,201,485,782,514,401,280
  5. Step 5: Solve for x
    x = 49,585,884,201,485,782,514,401,280/3,236,026,728,488
  6. Step 6: Final answer
    x = 15,323,076,217,190.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.