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Finding the Third Proportional to 244,929,459,728 and 340,554,836,066

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Solution

The third proportional to 244,929,459,728 and 340,554,836,066 is: 473,514,278,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,929,459,728 : 340,554,836,066 = 340,554,836,066 : x
  2. Step 2: Convert to fraction form
    244,929,459,728/340,554,836,066 = 340,554,836,066/x
  3. Step 3: Cross multiply
    244,929,459,728x = 340,554,836,066 × 340,554,836,066
  4. Step 4: Simplify right side
    244,929,459,728x = 115,977,596,367,940,140,138,496
  5. Step 5: Solve for x
    x = 115,977,596,367,940,140,138,496/244,929,459,728
  6. Step 6: Final answer
    x = 473,514,278,342.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.