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Finding the Third Proportional to 974,100,904.88 and 2,126,754,807.75

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Solution

The third proportional to 974,100,904.88 and 2,126,754,807.75 is: 4,643,344,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,100,904.88 : 2,126,754,807.75 = 2,126,754,807.75 : x
  2. Step 2: Convert to fraction form
    974,100,904.88/2,126,754,807.75 = 2,126,754,807.75/x
  3. Step 3: Cross multiply
    974,100,904.88x = 2,126,754,807.75 × 2,126,754,807.75
  4. Step 4: Simplify right side
    974,100,904.88x = 4,523,086,012,287,739,392
  5. Step 5: Solve for x
    x = 4,523,086,012,287,739,392/974,100,904.88
  6. Step 6: Final answer
    x = 4,643,344,431.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.