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Finding the Third Proportional to 603,217,665,550 and 899,595,465,183

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Solution

The third proportional to 603,217,665,550 and 899,595,465,183 is: 1,341,592,010,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,217,665,550 : 899,595,465,183 = 899,595,465,183 : x
  2. Step 2: Convert to fraction form
    603,217,665,550/899,595,465,183 = 899,595,465,183/x
  3. Step 3: Cross multiply
    603,217,665,550x = 899,595,465,183 × 899,595,465,183
  4. Step 4: Simplify right side
    603,217,665,550x = 809,272,000,977,818,127,171,584
  5. Step 5: Solve for x
    x = 809,272,000,977,818,127,171,584/603,217,665,550
  6. Step 6: Final answer
    x = 1,341,592,010,969.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.