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Finding the Third Proportional to 7,798,783 and 15,833,763

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Solution

The third proportional to 7,798,783 and 15,833,763 is: 32,147,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,783 : 15,833,763 = 15,833,763 : x
  2. Step 2: Convert to fraction form
    7,798,783/15,833,763 = 15,833,763/x
  3. Step 3: Cross multiply
    7,798,783x = 15,833,763 × 15,833,763
  4. Step 4: Simplify right side
    7,798,783x = 250,708,050,740,169
  5. Step 5: Solve for x
    x = 250,708,050,740,169/7,798,783
  6. Step 6: Final answer
    x = 32,147,073.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.