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Finding the Third Proportional to 258,704,347,230 and 562,963,325,094

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Solution

The third proportional to 258,704,347,230 and 562,963,325,094 is: 1,225,057,517,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,704,347,230 : 562,963,325,094 = 562,963,325,094 : x
  2. Step 2: Convert to fraction form
    258,704,347,230/562,963,325,094 = 562,963,325,094/x
  3. Step 3: Cross multiply
    258,704,347,230x = 562,963,325,094 × 562,963,325,094
  4. Step 4: Simplify right side
    258,704,347,230x = 316,927,705,400,892,729,589,760
  5. Step 5: Solve for x
    x = 316,927,705,400,892,729,589,760/258,704,347,230
  6. Step 6: Final answer
    x = 1,225,057,517,565.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.