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Finding the Third Proportional to 1,236,921,840 and 2,650,905,306

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Solution

The third proportional to 1,236,921,840 and 2,650,905,306 is: 5,681,279,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,921,840 : 2,650,905,306 = 2,650,905,306 : x
  2. Step 2: Convert to fraction form
    1,236,921,840/2,650,905,306 = 2,650,905,306/x
  3. Step 3: Cross multiply
    1,236,921,840x = 2,650,905,306 × 2,650,905,306
  4. Step 4: Simplify right side
    1,236,921,840x = 7,027,298,941,378,953,216
  5. Step 5: Solve for x
    x = 7,027,298,941,378,953,216/1,236,921,840
  6. Step 6: Final answer
    x = 5,681,279,701.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.