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Finding the Third Proportional to 9,794,798,066.25 and 20,000,714,946.75

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Solution

The third proportional to 9,794,798,066.25 and 20,000,714,946.75 is: 40,840,923,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794,798,066.25 : 20,000,714,946.75 = 20,000,714,946.75 : x
  2. Step 2: Convert to fraction form
    9,794,798,066.25/20,000,714,946.75 = 20,000,714,946.75/x
  3. Step 3: Cross multiply
    9,794,798,066.25x = 20,000,714,946.75 × 20,000,714,946.75
  4. Step 4: Simplify right side
    9,794,798,066.25x = 400,028,598,381,148,831,744
  5. Step 5: Solve for x
    x = 400,028,598,381,148,831,744/9,794,798,066.25
  6. Step 6: Final answer
    x = 40,840,923,485.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.