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Finding the Third Proportional to 957,861,614.25 and 2,065,235,296.50

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Solution

The third proportional to 957,861,614.25 and 2,065,235,296.50 is: 4,452,831,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,861,614.25 : 2,065,235,296.50 = 2,065,235,296.50 : x
  2. Step 2: Convert to fraction form
    957,861,614.25/2,065,235,296.50 = 2,065,235,296.50/x
  3. Step 3: Cross multiply
    957,861,614.25x = 2,065,235,296.50 × 2,065,235,296.50
  4. Step 4: Simplify right side
    957,861,614.25x = 4,265,196,829,909,443,072
  5. Step 5: Solve for x
    x = 4,265,196,829,909,443,072/957,861,614.25
  6. Step 6: Final answer
    x = 4,452,831,981.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.