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Finding the Third Proportional to 1,823,647,421 and 4,300,667,207

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Solution

The third proportional to 1,823,647,421 and 4,300,667,207 is: 10,142,167,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,647,421 : 4,300,667,207 = 4,300,667,207 : x
  2. Step 2: Convert to fraction form
    1,823,647,421/4,300,667,207 = 4,300,667,207/x
  3. Step 3: Cross multiply
    1,823,647,421x = 4,300,667,207 × 4,300,667,207
  4. Step 4: Simplify right side
    1,823,647,421x = 18,495,738,425,365,180,416
  5. Step 5: Solve for x
    x = 18,495,738,425,365,180,416/1,823,647,421
  6. Step 6: Final answer
    x = 10,142,167,950.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.