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Finding the Third Proportional to 2,714,562,283,768 and 5,905,720,680,080

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Solution

The third proportional to 2,714,562,283,768 and 5,905,720,680,080 is: 12,848,309,637,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714,562,283,768 : 5,905,720,680,080 = 5,905,720,680,080 : x
  2. Step 2: Convert to fraction form
    2,714,562,283,768/5,905,720,680,080 = 5,905,720,680,080/x
  3. Step 3: Cross multiply
    2,714,562,283,768x = 5,905,720,680,080 × 5,905,720,680,080
  4. Step 4: Simplify right side
    2,714,562,283,768x = 34,877,536,751,124,575,932,121,088
  5. Step 5: Solve for x
    x = 34,877,536,751,124,575,932,121,088/2,714,562,283,768
  6. Step 6: Final answer
    x = 12,848,309,637,129.47

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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.