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Finding the Third Proportional to 11,765,858,497.31 and 25,210,271,180.81

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Solution

The third proportional to 11,765,858,497.31 and 25,210,271,180.81 is: 54,017,118,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765,858,497.31 : 25,210,271,180.81 = 25,210,271,180.81 : x
  2. Step 2: Convert to fraction form
    11,765,858,497.31/25,210,271,180.81 = 25,210,271,180.81/x
  3. Step 3: Cross multiply
    11,765,858,497.31x = 25,210,271,180.81 × 25,210,271,180.81
  4. Step 4: Simplify right side
    11,765,858,497.31x = 635,557,773,010,080,104,448
  5. Step 5: Solve for x
    x = 635,557,773,010,080,104,448/11,765,858,497.31
  6. Step 6: Final answer
    x = 54,017,118,526.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.