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Finding the Third Proportional to 1,313,520,414 and 2,855,672,724

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Solution

The third proportional to 1,313,520,414 and 2,855,672,724 is: 6,208,405,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,520,414 : 2,855,672,724 = 2,855,672,724 : x
  2. Step 2: Convert to fraction form
    1,313,520,414/2,855,672,724 = 2,855,672,724/x
  3. Step 3: Cross multiply
    1,313,520,414x = 2,855,672,724 × 2,855,672,724
  4. Step 4: Simplify right side
    1,313,520,414x = 8,154,866,706,597,579,776
  5. Step 5: Solve for x
    x = 8,154,866,706,597,579,776/1,313,520,414
  6. Step 6: Final answer
    x = 6,208,405,000.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.