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Finding the Third Proportional to 648,004,086 and 1,425,207,384

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Solution

The third proportional to 648,004,086 and 1,425,207,384 is: 3,134,572,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,004,086 : 1,425,207,384 = 1,425,207,384 : x
  2. Step 2: Convert to fraction form
    648,004,086/1,425,207,384 = 1,425,207,384/x
  3. Step 3: Cross multiply
    648,004,086x = 1,425,207,384 × 1,425,207,384
  4. Step 4: Simplify right side
    648,004,086x = 2,031,216,087,408,123,392
  5. Step 5: Solve for x
    x = 2,031,216,087,408,123,392/648,004,086
  6. Step 6: Final answer
    x = 3,134,572,962.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.