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Finding the Third Proportional to 1,047,674,508 and 2,281,353,384

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Solution

The third proportional to 1,047,674,508 and 2,281,353,384 is: 4,967,738,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,674,508 : 2,281,353,384 = 2,281,353,384 : x
  2. Step 2: Convert to fraction form
    1,047,674,508/2,281,353,384 = 2,281,353,384/x
  3. Step 3: Cross multiply
    1,047,674,508x = 2,281,353,384 × 2,281,353,384
  4. Step 4: Simplify right side
    1,047,674,508x = 5,204,573,262,688,251,904
  5. Step 5: Solve for x
    x = 5,204,573,262,688,251,904/1,047,674,508
  6. Step 6: Final answer
    x = 4,967,738,761.37

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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.