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Finding the Third Proportional to 1,310,914,058 and 2,808,812,105

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Solution

The third proportional to 1,310,914,058 and 2,808,812,105 is: 6,018,262,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,914,058 : 2,808,812,105 = 2,808,812,105 : x
  2. Step 2: Convert to fraction form
    1,310,914,058/2,808,812,105 = 2,808,812,105/x
  3. Step 3: Cross multiply
    1,310,914,058x = 2,808,812,105 × 2,808,812,105
  4. Step 4: Simplify right side
    1,310,914,058x = 7,889,425,441,194,530,816
  5. Step 5: Solve for x
    x = 7,889,425,441,194,530,816/1,310,914,058
  6. Step 6: Final answer
    x = 6,018,262,900.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.