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Finding the Third Proportional to 25,642,454,424 and 55,699,111,776

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Solution

The third proportional to 25,642,454,424 and 55,699,111,776 is: 120,986,509,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642,454,424 : 55,699,111,776 = 55,699,111,776 : x
  2. Step 2: Convert to fraction form
    25,642,454,424/55,699,111,776 = 55,699,111,776/x
  3. Step 3: Cross multiply
    25,642,454,424x = 55,699,111,776 × 55,699,111,776
  4. Step 4: Simplify right side
    25,642,454,424x = 3,102,391,052,635,341,848,576
  5. Step 5: Solve for x
    x = 3,102,391,052,635,341,848,576/25,642,454,424
  6. Step 6: Final answer
    x = 120,986,509,377.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.