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Finding the Third Proportional to 577,402,328 and 1,362,566,156

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Solution

The third proportional to 577,402,328 and 1,362,566,156 is: 3,215,412,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,402,328 : 1,362,566,156 = 1,362,566,156 : x
  2. Step 2: Convert to fraction form
    577,402,328/1,362,566,156 = 1,362,566,156/x
  3. Step 3: Cross multiply
    577,402,328x = 1,362,566,156 × 1,362,566,156
  4. Step 4: Simplify right side
    577,402,328x = 1,856,586,529,476,616,448
  5. Step 5: Solve for x
    x = 1,856,586,529,476,616,448/577,402,328
  6. Step 6: Final answer
    x = 3,215,412,268.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.