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Finding the Third Proportional to 639,986,737,677 and 924,670,317,969

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Solution

The third proportional to 639,986,737,677 and 924,670,317,969 is: 1,335,988,930,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,986,737,677 : 924,670,317,969 = 924,670,317,969 : x
  2. Step 2: Convert to fraction form
    639,986,737,677/924,670,317,969 = 924,670,317,969/x
  3. Step 3: Cross multiply
    639,986,737,677x = 924,670,317,969 × 924,670,317,969
  4. Step 4: Simplify right side
    639,986,737,677x = 855,015,196,932,891,605,991,424
  5. Step 5: Solve for x
    x = 855,015,196,932,891,605,991,424/639,986,737,677
  6. Step 6: Final answer
    x = 1,335,988,930,077.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.