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Finding the Third Proportional to 1,536,622,717 and 3,306,302,643

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Solution

The third proportional to 1,536,622,717 and 3,306,302,643 is: 7,114,067,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,622,717 : 3,306,302,643 = 3,306,302,643 : x
  2. Step 2: Convert to fraction form
    1,536,622,717/3,306,302,643 = 3,306,302,643/x
  3. Step 3: Cross multiply
    1,536,622,717x = 3,306,302,643 × 3,306,302,643
  4. Step 4: Simplify right side
    1,536,622,717x = 10,931,637,167,108,786,176
  5. Step 5: Solve for x
    x = 10,931,637,167,108,786,176/1,536,622,717
  6. Step 6: Final answer
    x = 7,114,067,133.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.