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Finding the Third Proportional to 927,419,148 and 2,000,116,869.75

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Solution

The third proportional to 927,419,148 and 2,000,116,869.75 is: 4,313,548,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,419,148 : 2,000,116,869.75 = 2,000,116,869.75 : x
  2. Step 2: Convert to fraction form
    927,419,148/2,000,116,869.75 = 2,000,116,869.75/x
  3. Step 3: Cross multiply
    927,419,148x = 2,000,116,869.75 × 2,000,116,869.75
  4. Step 4: Simplify right side
    927,419,148x = 4,000,467,492,658,538,496
  5. Step 5: Solve for x
    x = 4,000,467,492,658,538,496/927,419,148
  6. Step 6: Final answer
    x = 4,313,548,519.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.