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Finding the Third Proportional to 929,848,248,600 and 1,443,728,677,024

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Solution

The third proportional to 929,848,248,600 and 1,443,728,677,024 is: 2,241,605,010,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,848,248,600 : 1,443,728,677,024 = 1,443,728,677,024 : x
  2. Step 2: Convert to fraction form
    929,848,248,600/1,443,728,677,024 = 1,443,728,677,024/x
  3. Step 3: Cross multiply
    929,848,248,600x = 1,443,728,677,024 × 1,443,728,677,024
  4. Step 4: Simplify right side
    929,848,248,600x = 2,084,352,492,861,469,415,702,528
  5. Step 5: Solve for x
    x = 2,084,352,492,861,469,415,702,528/929,848,248,600
  6. Step 6: Final answer
    x = 2,241,605,010,279.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.