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Finding the Third Proportional to 2,960,590,107 and 6,582,945,038

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Solution

The third proportional to 2,960,590,107 and 6,582,945,038 is: 14,637,340,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,590,107 : 6,582,945,038 = 6,582,945,038 : x
  2. Step 2: Convert to fraction form
    2,960,590,107/6,582,945,038 = 6,582,945,038/x
  3. Step 3: Cross multiply
    2,960,590,107x = 6,582,945,038 × 6,582,945,038
  4. Step 4: Simplify right side
    2,960,590,107x = 43,335,165,373,328,818,176
  5. Step 5: Solve for x
    x = 43,335,165,373,328,818,176/2,960,590,107
  6. Step 6: Final answer
    x = 14,637,340,464.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.