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Finding the Third Proportional to 724,678,562,790 and 1,080,733,514,265

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Solution

The third proportional to 724,678,562,790 and 1,080,733,514,265 is: 1,611,728,273,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,678,562,790 : 1,080,733,514,265 = 1,080,733,514,265 : x
  2. Step 2: Convert to fraction form
    724,678,562,790/1,080,733,514,265 = 1,080,733,514,265/x
  3. Step 3: Cross multiply
    724,678,562,790x = 1,080,733,514,265 × 1,080,733,514,265
  4. Step 4: Simplify right side
    724,678,562,790x = 1,167,984,928,855,577,025,576,960
  5. Step 5: Solve for x
    x = 1,167,984,928,855,577,025,576,960/724,678,562,790
  6. Step 6: Final answer
    x = 1,611,728,273,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.