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Finding the Third Proportional to 1,318,087,752 and 2,840,302,224

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Solution

The third proportional to 1,318,087,752 and 2,840,302,224 is: 6,120,470,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,087,752 : 2,840,302,224 = 2,840,302,224 : x
  2. Step 2: Convert to fraction form
    1,318,087,752/2,840,302,224 = 2,840,302,224/x
  3. Step 3: Cross multiply
    1,318,087,752x = 2,840,302,224 × 2,840,302,224
  4. Step 4: Simplify right side
    1,318,087,752x = 8,067,316,723,659,345,920
  5. Step 5: Solve for x
    x = 8,067,316,723,659,345,920/1,318,087,752
  6. Step 6: Final answer
    x = 6,120,470,136.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.