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Finding the Third Proportional to 1,229,669,527.50 and 2,677,672,671

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Solution

The third proportional to 1,229,669,527.50 and 2,677,672,671 is: 5,830,778,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,669,527.50 : 2,677,672,671 = 2,677,672,671 : x
  2. Step 2: Convert to fraction form
    1,229,669,527.50/2,677,672,671 = 2,677,672,671/x
  3. Step 3: Cross multiply
    1,229,669,527.50x = 2,677,672,671 × 2,677,672,671
  4. Step 4: Simplify right side
    1,229,669,527.50x = 7,169,930,933,020,274,688
  5. Step 5: Solve for x
    x = 7,169,930,933,020,274,688/1,229,669,527.50
  6. Step 6: Final answer
    x = 5,830,778,735.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.