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Finding the Third Proportional to 182,647,075,609 and 279,429,574,717.50

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Solution

The third proportional to 182,647,075,609 and 279,429,574,717.50 is: 427,495,961,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,647,075,609 : 279,429,574,717.50 = 279,429,574,717.50 : x
  2. Step 2: Convert to fraction form
    182,647,075,609/279,429,574,717.50 = 279,429,574,717.50/x
  3. Step 3: Cross multiply
    182,647,075,609x = 279,429,574,717.50 × 279,429,574,717.50
  4. Step 4: Simplify right side
    182,647,075,609x = 78,080,887,226,802,915,770,368
  5. Step 5: Solve for x
    x = 78,080,887,226,802,915,770,368/182,647,075,609
  6. Step 6: Final answer
    x = 427,495,961,632.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.