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Finding the Third Proportional to 9,763,350 and 20,996,086.50

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Solution

The third proportional to 9,763,350 and 20,996,086.50 is: 45,152,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763,350 : 20,996,086.50 = 20,996,086.50 : x
  2. Step 2: Convert to fraction form
    9,763,350/20,996,086.50 = 20,996,086.50/x
  3. Step 3: Cross multiply
    9,763,350x = 20,996,086.50 × 20,996,086.50
  4. Step 4: Simplify right side
    9,763,350x = 440,835,648,315,482.25
  5. Step 5: Solve for x
    x = 440,835,648,315,482.25/9,763,350
  6. Step 6: Final answer
    x = 45,152,089.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.