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Finding the Third Proportional to 2,714,562,283,740 and 5,905,720,680,024

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Solution

The third proportional to 2,714,562,283,740 and 5,905,720,680,024 is: 12,848,309,637,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714,562,283,740 : 5,905,720,680,024 = 5,905,720,680,024 : x
  2. Step 2: Convert to fraction form
    2,714,562,283,740/5,905,720,680,024 = 5,905,720,680,024/x
  3. Step 3: Cross multiply
    2,714,562,283,740x = 5,905,720,680,024 × 5,905,720,680,024
  4. Step 4: Simplify right side
    2,714,562,283,740x = 34,877,536,750,463,138,083,635,200
  5. Step 5: Solve for x
    x = 34,877,536,750,463,138,083,635,200/2,714,562,283,740
  6. Step 6: Final answer
    x = 12,848,309,637,018.33

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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.