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Finding the Third Proportional to 512,736,639,197 and 753,745,605,235

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Solution

The third proportional to 512,736,639,197 and 753,745,605,235 is: 1,108,039,476,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,736,639,197 : 753,745,605,235 = 753,745,605,235 : x
  2. Step 2: Convert to fraction form
    512,736,639,197/753,745,605,235 = 753,745,605,235/x
  3. Step 3: Cross multiply
    512,736,639,197x = 753,745,605,235 × 753,745,605,235
  4. Step 4: Simplify right side
    512,736,639,197x = 568,132,437,411,076,463,656,960
  5. Step 5: Solve for x
    x = 568,132,437,411,076,463,656,960/512,736,639,197
  6. Step 6: Final answer
    x = 1,108,039,476,759.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.