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Finding the Third Proportional to 25,454,978,984 and 51,635,775,154

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Solution

The third proportional to 25,454,978,984 and 51,635,775,154 is: 104,743,880,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454,978,984 : 51,635,775,154 = 51,635,775,154 : x
  2. Step 2: Convert to fraction form
    25,454,978,984/51,635,775,154 = 51,635,775,154/x
  3. Step 3: Cross multiply
    25,454,978,984x = 51,635,775,154 × 51,635,775,154
  4. Step 4: Simplify right side
    25,454,978,984x = 2,666,253,275,754,443,833,344
  5. Step 5: Solve for x
    x = 2,666,253,275,754,443,833,344/25,454,978,984
  6. Step 6: Final answer
    x = 104,743,880,457.74

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.