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Finding the Third Proportional to 947,373,901 and 1,421,060,851.50

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Solution

The third proportional to 947,373,901 and 1,421,060,851.50 is: 2,131,591,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,373,901 : 1,421,060,851.50 = 1,421,060,851.50 : x
  2. Step 2: Convert to fraction form
    947,373,901/1,421,060,851.50 = 1,421,060,851.50/x
  3. Step 3: Cross multiply
    947,373,901x = 1,421,060,851.50 × 1,421,060,851.50
  4. Step 4: Simplify right side
    947,373,901x = 2,019,413,943,665,905,152
  5. Step 5: Solve for x
    x = 2,019,413,943,665,905,152/947,373,901
  6. Step 6: Final answer
    x = 2,131,591,277.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.