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Finding the Third Proportional to 2,674,029,172 and 5,864,618,450

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Solution

The third proportional to 2,674,029,172 and 5,864,618,450 is: 12,862,144,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,029,172 : 5,864,618,450 = 5,864,618,450 : x
  2. Step 2: Convert to fraction form
    2,674,029,172/5,864,618,450 = 5,864,618,450/x
  3. Step 3: Cross multiply
    2,674,029,172x = 5,864,618,450 × 5,864,618,450
  4. Step 4: Simplify right side
    2,674,029,172x = 34,393,749,564,080,402,432
  5. Step 5: Solve for x
    x = 34,393,749,564,080,402,432/2,674,029,172
  6. Step 6: Final answer
    x = 12,862,144,483.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.