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Finding the Third Proportional to 24,780,026.25 and 53,147,188.13

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Solution

The third proportional to 24,780,026.25 and 53,147,188.13 is: 113,987,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780,026.25 : 53,147,188.13 = 53,147,188.13 : x
  2. Step 2: Convert to fraction form
    24,780,026.25/53,147,188.13 = 53,147,188.13/x
  3. Step 3: Cross multiply
    24,780,026.25x = 53,147,188.13 × 53,147,188.13
  4. Step 4: Simplify right side
    24,780,026.25x = 2,824,623,605,594,141
  5. Step 5: Solve for x
    x = 2,824,623,605,594,141/24,780,026.25
  6. Step 6: Final answer
    x = 113,987,918.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.