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Finding the Third Proportional to 3,402,225,074 and 5,337,082,413

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Solution

The third proportional to 3,402,225,074 and 5,337,082,413 is: 8,372,299,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402,225,074 : 5,337,082,413 = 5,337,082,413 : x
  2. Step 2: Convert to fraction form
    3,402,225,074/5,337,082,413 = 5,337,082,413/x
  3. Step 3: Cross multiply
    3,402,225,074x = 5,337,082,413 × 5,337,082,413
  4. Step 4: Simplify right side
    3,402,225,074x = 28,484,448,683,153,903,616
  5. Step 5: Solve for x
    x = 28,484,448,683,153,903,616/3,402,225,074
  6. Step 6: Final answer
    x = 8,372,299,910.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.