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Finding the Third Proportional to 1,284,109,688 and 1,967,615,244

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Solution

The third proportional to 1,284,109,688 and 1,967,615,244 is: 3,014,936,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,109,688 : 1,967,615,244 = 1,967,615,244 : x
  2. Step 2: Convert to fraction form
    1,284,109,688/1,967,615,244 = 1,967,615,244/x
  3. Step 3: Cross multiply
    1,284,109,688x = 1,967,615,244 × 1,967,615,244
  4. Step 4: Simplify right side
    1,284,109,688x = 3,871,509,748,421,179,392
  5. Step 5: Solve for x
    x = 3,871,509,748,421,179,392/1,284,109,688
  6. Step 6: Final answer
    x = 3,014,936,951.73

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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.