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Finding the Third Proportional to 1,146,871,672.50 and 1,769,414,275

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Solution

The third proportional to 1,146,871,672.50 and 1,769,414,275 is: 2,729,884,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,871,672.50 : 1,769,414,275 = 1,769,414,275 : x
  2. Step 2: Convert to fraction form
    1,146,871,672.50/1,769,414,275 = 1,769,414,275/x
  3. Step 3: Cross multiply
    1,146,871,672.50x = 1,769,414,275 × 1,769,414,275
  4. Step 4: Simplify right side
    1,146,871,672.50x = 3,130,826,876,573,775,872
  5. Step 5: Solve for x
    x = 3,130,826,876,573,775,872/1,146,871,672.50
  6. Step 6: Final answer
    x = 2,729,884,216.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.