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Finding the Third Proportional to 11,765,858,481 and 25,210,271,151

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Solution

The third proportional to 11,765,858,481 and 25,210,271,151 is: 54,017,118,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765,858,481 : 25,210,271,151 = 25,210,271,151 : x
  2. Step 2: Convert to fraction form
    11,765,858,481/25,210,271,151 = 25,210,271,151/x
  3. Step 3: Cross multiply
    11,765,858,481x = 25,210,271,151 × 25,210,271,151
  4. Step 4: Simplify right side
    11,765,858,481x = 635,557,771,506,942,869,504
  5. Step 5: Solve for x
    x = 635,557,771,506,942,869,504/11,765,858,481
  6. Step 6: Final answer
    x = 54,017,118,473.19

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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.