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Finding the Third Proportional to 1,693,666,039 and 3,668,766,992

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Solution

The third proportional to 1,693,666,039 and 3,668,766,992 is: 7,947,169,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,666,039 : 3,668,766,992 = 3,668,766,992 : x
  2. Step 2: Convert to fraction form
    1,693,666,039/3,668,766,992 = 3,668,766,992/x
  3. Step 3: Cross multiply
    1,693,666,039x = 3,668,766,992 × 3,668,766,992
  4. Step 4: Simplify right side
    1,693,666,039x = 13,459,851,241,588,727,808
  5. Step 5: Solve for x
    x = 13,459,851,241,588,727,808/1,693,666,039
  6. Step 6: Final answer
    x = 7,947,169,590.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.