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Finding the Third Proportional to 33,597,294,566.63 and 71,986,784,175

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Solution

The third proportional to 33,597,294,566.63 and 71,986,784,175 is: 154,241,499,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597,294,566.63 : 71,986,784,175 = 71,986,784,175 : x
  2. Step 2: Convert to fraction form
    33,597,294,566.63/71,986,784,175 = 71,986,784,175/x
  3. Step 3: Cross multiply
    33,597,294,566.63x = 71,986,784,175 × 71,986,784,175
  4. Step 4: Simplify right side
    33,597,294,566.63x = 5,182,097,095,858,030,903,296
  5. Step 5: Solve for x
    x = 5,182,097,095,858,030,903,296/33,597,294,566.63
  6. Step 6: Final answer
    x = 154,241,499,582.11

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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.