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Finding the Third Proportional to 11,881,113,021 and 25,178,732,205.75

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Solution

The third proportional to 11,881,113,021 and 25,178,732,205.75 is: 53,359,357,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881,113,021 : 25,178,732,205.75 = 25,178,732,205.75 : x
  2. Step 2: Convert to fraction form
    11,881,113,021/25,178,732,205.75 = 25,178,732,205.75/x
  3. Step 3: Cross multiply
    11,881,113,021x = 25,178,732,205.75 × 25,178,732,205.75
  4. Step 4: Simplify right side
    11,881,113,021x = 633,968,555,488,872,235,008
  5. Step 5: Solve for x
    x = 633,968,555,488,872,235,008/11,881,113,021
  6. Step 6: Final answer
    x = 53,359,357,357.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.