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Finding the Third Proportional to 1,668,502,247 and 2,524,227,519

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Solution

The third proportional to 1,668,502,247 and 2,524,227,519 is: 3,818,828,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,502,247 : 2,524,227,519 = 2,524,227,519 : x
  2. Step 2: Convert to fraction form
    1,668,502,247/2,524,227,519 = 2,524,227,519/x
  3. Step 3: Cross multiply
    1,668,502,247x = 2,524,227,519 × 2,524,227,519
  4. Step 4: Simplify right side
    1,668,502,247x = 6,371,724,567,676,895,232
  5. Step 5: Solve for x
    x = 6,371,724,567,676,895,232/1,668,502,247
  6. Step 6: Final answer
    x = 3,818,828,880.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.