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Finding the Third Proportional to 758,502,770,243 and 1,095,905,518,020

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Solution

The third proportional to 758,502,770,243 and 1,095,905,518,020 is: 1,583,394,222,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,502,770,243 : 1,095,905,518,020 = 1,095,905,518,020 : x
  2. Step 2: Convert to fraction form
    758,502,770,243/1,095,905,518,020 = 1,095,905,518,020/x
  3. Step 3: Cross multiply
    758,502,770,243x = 1,095,905,518,020 × 1,095,905,518,020
  4. Step 4: Simplify right side
    758,502,770,243x = 1,201,008,904,426,684,520,857,600
  5. Step 5: Solve for x
    x = 1,201,008,904,426,684,520,857,600/758,502,770,243
  6. Step 6: Final answer
    x = 1,583,394,222,860.81

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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.