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Finding the Third Proportional to 3,718,963,842 and 5,686,606,806

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Solution

The third proportional to 3,718,963,842 and 5,686,606,806 is: 8,695,297,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718,963,842 : 5,686,606,806 = 5,686,606,806 : x
  2. Step 2: Convert to fraction form
    3,718,963,842/5,686,606,806 = 5,686,606,806/x
  3. Step 3: Cross multiply
    3,718,963,842x = 5,686,606,806 × 5,686,606,806
  4. Step 4: Simplify right side
    3,718,963,842x = 32,337,496,966,045,519,872
  5. Step 5: Solve for x
    x = 32,337,496,966,045,519,872/3,718,963,842
  6. Step 6: Final answer
    x = 8,695,297,491.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.