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Finding the Third Proportional to 429,235,800.47 and 929,780,285.06

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Solution

The third proportional to 429,235,800.47 and 929,780,285.06 is: 2,014,024,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235,800.47 : 929,780,285.06 = 929,780,285.06 : x
  2. Step 2: Convert to fraction form
    429,235,800.47/929,780,285.06 = 929,780,285.06/x
  3. Step 3: Cross multiply
    429,235,800.47x = 929,780,285.06 × 929,780,285.06
  4. Step 4: Simplify right side
    429,235,800.47x = 864,491,378,490,903,808
  5. Step 5: Solve for x
    x = 864,491,378,490,903,808/429,235,800.47
  6. Step 6: Final answer
    x = 2,014,024,406.97

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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.