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Finding the Third Proportional to 241,559,521,560 and 360,244,505,592

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Solution

The third proportional to 241,559,521,560 and 360,244,505,592 is: 537,242,758,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,559,521,560 : 360,244,505,592 = 360,244,505,592 : x
  2. Step 2: Convert to fraction form
    241,559,521,560/360,244,505,592 = 360,244,505,592/x
  3. Step 3: Cross multiply
    241,559,521,560x = 360,244,505,592 × 360,244,505,592
  4. Step 4: Simplify right side
    241,559,521,560x = 129,776,103,809,224,525,479,936
  5. Step 5: Solve for x
    x = 129,776,103,809,224,525,479,936/241,559,521,560
  6. Step 6: Final answer
    x = 537,242,758,932.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.