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Finding the Third Proportional to 1,699,303,707 and 2,624,420,214

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Solution

The third proportional to 1,699,303,707 and 2,624,420,214 is: 4,053,178,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,303,707 : 2,624,420,214 = 2,624,420,214 : x
  2. Step 2: Convert to fraction form
    1,699,303,707/2,624,420,214 = 2,624,420,214/x
  3. Step 3: Cross multiply
    1,699,303,707x = 2,624,420,214 × 2,624,420,214
  4. Step 4: Simplify right side
    1,699,303,707x = 6,887,581,459,651,806,208
  5. Step 5: Solve for x
    x = 6,887,581,459,651,806,208/1,699,303,707
  6. Step 6: Final answer
    x = 4,053,178,623.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.