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Finding the Third Proportional to 281,154,324,955 and 428,309,564,896

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Solution

The third proportional to 281,154,324,955 and 428,309,564,896 is: 652,485,368,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,154,324,955 : 428,309,564,896 = 428,309,564,896 : x
  2. Step 2: Convert to fraction form
    281,154,324,955/428,309,564,896 = 428,309,564,896/x
  3. Step 3: Cross multiply
    281,154,324,955x = 428,309,564,896 × 428,309,564,896
  4. Step 4: Simplify right side
    281,154,324,955x = 183,449,083,381,400,828,116,992
  5. Step 5: Solve for x
    x = 183,449,083,381,400,828,116,992/281,154,324,955
  6. Step 6: Final answer
    x = 652,485,368,705.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.