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Finding the Third Proportional to 603,217,665,548 and 899,595,465,180

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Solution

The third proportional to 603,217,665,548 and 899,595,465,180 is: 1,341,592,010,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,217,665,548 : 899,595,465,180 = 899,595,465,180 : x
  2. Step 2: Convert to fraction form
    603,217,665,548/899,595,465,180 = 899,595,465,180/x
  3. Step 3: Cross multiply
    603,217,665,548x = 899,595,465,180 × 899,595,465,180
  4. Step 4: Simplify right side
    603,217,665,548x = 809,272,000,972,420,561,240,064
  5. Step 5: Solve for x
    x = 809,272,000,972,420,561,240,064/603,217,665,548
  6. Step 6: Final answer
    x = 1,341,592,010,965.44

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