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Finding the Third Proportional to 691,992,693 and 1,515,428,433

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Solution

The third proportional to 691,992,693 and 1,515,428,433 is: 3,318,710,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,992,693 : 1,515,428,433 = 1,515,428,433 : x
  2. Step 2: Convert to fraction form
    691,992,693/1,515,428,433 = 1,515,428,433/x
  3. Step 3: Cross multiply
    691,992,693x = 1,515,428,433 × 1,515,428,433
  4. Step 4: Simplify right side
    691,992,693x = 2,296,523,335,544,835,584
  5. Step 5: Solve for x
    x = 2,296,523,335,544,835,584/691,992,693
  6. Step 6: Final answer
    x = 3,318,710,383.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.