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Finding the Third Proportional to 241,566,882,934 and 525,545,700,200

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Solution

The third proportional to 241,566,882,934 and 525,545,700,200 is: 1,143,361,538,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,934 : 525,545,700,200 = 525,545,700,200 : x
  2. Step 2: Convert to fraction form
    241,566,882,934/525,545,700,200 = 525,545,700,200/x
  3. Step 3: Cross multiply
    241,566,882,934x = 525,545,700,200 × 525,545,700,200
  4. Step 4: Simplify right side
    241,566,882,934x = 276,198,282,998,708,267,122,688
  5. Step 5: Solve for x
    x = 276,198,282,998,708,267,122,688/241,566,882,934
  6. Step 6: Final answer
    x = 1,143,361,538,817.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.