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Finding the Third Proportional to 1,693,666,234 and 3,668,767,383

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Solution

The third proportional to 1,693,666,234 and 3,668,767,383 is: 7,947,170,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,666,234 : 3,668,767,383 = 3,668,767,383 : x
  2. Step 2: Convert to fraction form
    1,693,666,234/3,668,767,383 = 3,668,767,383/x
  3. Step 3: Cross multiply
    1,693,666,234x = 3,668,767,383 × 3,668,767,383
  4. Step 4: Simplify right side
    1,693,666,234x = 13,459,854,110,564,669,440
  5. Step 5: Solve for x
    x = 13,459,854,110,564,669,440/1,693,666,234
  6. Step 6: Final answer
    x = 7,947,170,369.44

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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.