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Finding the Third Proportional to 281,100,349,076 and 428,236,937,648

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Solution

The third proportional to 281,100,349,076 and 428,236,937,648 is: 652,389,352,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,100,349,076 : 428,236,937,648 = 428,236,937,648 : x
  2. Step 2: Convert to fraction form
    281,100,349,076/428,236,937,648 = 428,236,937,648/x
  3. Step 3: Cross multiply
    281,100,349,076x = 428,236,937,648 × 428,236,937,648
  4. Step 4: Simplify right side
    281,100,349,076x = 183,386,874,766,137,023,791,104
  5. Step 5: Solve for x
    x = 183,386,874,766,137,023,791,104/281,100,349,076
  6. Step 6: Final answer
    x = 652,389,352,659.81

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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.