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Finding the Third Proportional to 429,235,799.06 and 929,780,282.25

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Solution

The third proportional to 429,235,799.06 and 929,780,282.25 is: 2,014,024,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235,799.06 : 929,780,282.25 = 929,780,282.25 : x
  2. Step 2: Convert to fraction form
    429,235,799.06/929,780,282.25 = 929,780,282.25/x
  3. Step 3: Cross multiply
    429,235,799.06x = 929,780,282.25 × 929,780,282.25
  4. Step 4: Simplify right side
    429,235,799.06x = 864,491,373,260,889,728
  5. Step 5: Solve for x
    x = 864,491,373,260,889,728/429,235,799.06
  6. Step 6: Final answer
    x = 2,014,024,401.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.