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Finding the Third Proportional to 11,773,817,526.75 and 18,097,201,676.25

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Solution

The third proportional to 11,773,817,526.75 and 18,097,201,676.25 is: 27,816,696,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773,817,526.75 : 18,097,201,676.25 = 18,097,201,676.25 : x
  2. Step 2: Convert to fraction form
    11,773,817,526.75/18,097,201,676.25 = 18,097,201,676.25/x
  3. Step 3: Cross multiply
    11,773,817,526.75x = 18,097,201,676.25 × 18,097,201,676.25
  4. Step 4: Simplify right side
    11,773,817,526.75x = 327,508,708,510,865,817,600
  5. Step 5: Solve for x
    x = 327,508,708,510,865,817,600/11,773,817,526.75
  6. Step 6: Final answer
    x = 27,816,696,476.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.