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Finding the Third Proportional to 1,310,915,429 and 2,808,814,866

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Solution

The third proportional to 1,310,915,429 and 2,808,814,866 is: 6,018,268,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,915,429 : 2,808,814,866 = 2,808,814,866 : x
  2. Step 2: Convert to fraction form
    1,310,915,429/2,808,814,866 = 2,808,814,866/x
  3. Step 3: Cross multiply
    1,310,915,429x = 2,808,814,866 × 2,808,814,866
  4. Step 4: Simplify right side
    1,310,915,429x = 7,889,440,951,462,597,632
  5. Step 5: Solve for x
    x = 7,889,440,951,462,597,632/1,310,915,429
  6. Step 6: Final answer
    x = 6,018,268,438.17

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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.