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Finding the Third Proportional to 2,453,220,712 and 5,356,040,506

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Solution

The third proportional to 2,453,220,712 and 5,356,040,506 is: 11,693,676,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453,220,712 : 5,356,040,506 = 5,356,040,506 : x
  2. Step 2: Convert to fraction form
    2,453,220,712/5,356,040,506 = 5,356,040,506/x
  3. Step 3: Cross multiply
    2,453,220,712x = 5,356,040,506 × 5,356,040,506
  4. Step 4: Simplify right side
    2,453,220,712x = 28,687,169,901,912,735,744
  5. Step 5: Solve for x
    x = 28,687,169,901,912,735,744/2,453,220,712
  6. Step 6: Final answer
    x = 11,693,676,708.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.