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Finding the Third Proportional to 758,502,770,247 and 1,095,905,518,026

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Solution

The third proportional to 758,502,770,247 and 1,095,905,518,026 is: 1,583,394,222,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,502,770,247 : 1,095,905,518,026 = 1,095,905,518,026 : x
  2. Step 2: Convert to fraction form
    758,502,770,247/1,095,905,518,026 = 1,095,905,518,026/x
  3. Step 3: Cross multiply
    758,502,770,247x = 1,095,905,518,026 × 1,095,905,518,026
  4. Step 4: Simplify right side
    758,502,770,247x = 1,201,008,904,439,835,442,282,496
  5. Step 5: Solve for x
    x = 1,201,008,904,439,835,442,282,496/758,502,770,247
  6. Step 6: Final answer
    x = 1,583,394,222,869.80

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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.