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Finding the Third Proportional to 814,818,082.50 and 1,292,352,063.75

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Solution

The third proportional to 814,818,082.50 and 1,292,352,063.75 is: 2,049,750,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,818,082.50 : 1,292,352,063.75 = 1,292,352,063.75 : x
  2. Step 2: Convert to fraction form
    814,818,082.50/1,292,352,063.75 = 1,292,352,063.75/x
  3. Step 3: Cross multiply
    814,818,082.50x = 1,292,352,063.75 × 1,292,352,063.75
  4. Step 4: Simplify right side
    814,818,082.50x = 1,670,173,856,678,884,096
  5. Step 5: Solve for x
    x = 1,670,173,856,678,884,096/814,818,082.50
  6. Step 6: Final answer
    x = 2,049,750,603.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.