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Finding the Third Proportional to 1,201,062,260 and 2,586,415,720

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Solution

The third proportional to 1,201,062,260 and 2,586,415,720 is: 5,569,691,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,062,260 : 2,586,415,720 = 2,586,415,720 : x
  2. Step 2: Convert to fraction form
    1,201,062,260/2,586,415,720 = 2,586,415,720/x
  3. Step 3: Cross multiply
    1,201,062,260x = 2,586,415,720 × 2,586,415,720
  4. Step 4: Simplify right side
    1,201,062,260x = 6,689,546,276,663,118,848
  5. Step 5: Solve for x
    x = 6,689,546,276,663,118,848/1,201,062,260
  6. Step 6: Final answer
    x = 5,569,691,513.46

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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.