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Finding the Third Proportional to 9,996,868,921.13 and 20,821,172,803.13

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Solution

The third proportional to 9,996,868,921.13 and 20,821,172,803.13 is: 43,365,701,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,868,921.13 : 20,821,172,803.13 = 20,821,172,803.13 : x
  2. Step 2: Convert to fraction form
    9,996,868,921.13/20,821,172,803.13 = 20,821,172,803.13/x
  3. Step 3: Cross multiply
    9,996,868,921.13x = 20,821,172,803.13 × 20,821,172,803.13
  4. Step 4: Simplify right side
    9,996,868,921.13x = 433,521,236,897,592,180,736
  5. Step 5: Solve for x
    x = 433,521,236,897,592,180,736/9,996,868,921.13
  6. Step 6: Final answer
    x = 43,365,701,833.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.