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Finding the Third Proportional to 1,666,144,984 and 3,470,195,774

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Solution

The third proportional to 1,666,144,984 and 3,470,195,774 is: 7,227,617,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,144,984 : 3,470,195,774 = 3,470,195,774 : x
  2. Step 2: Convert to fraction form
    1,666,144,984/3,470,195,774 = 3,470,195,774/x
  3. Step 3: Cross multiply
    1,666,144,984x = 3,470,195,774 × 3,470,195,774
  4. Step 4: Simplify right side
    1,666,144,984x = 12,042,258,709,887,459,328
  5. Step 5: Solve for x
    x = 12,042,258,709,887,459,328/1,666,144,984
  6. Step 6: Final answer
    x = 7,227,617,539.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.