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Finding the Third Proportional to 577,402,296 and 1,362,566,076

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Solution

The third proportional to 577,402,296 and 1,362,566,076 is: 3,215,412,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,402,296 : 1,362,566,076 = 1,362,566,076 : x
  2. Step 2: Convert to fraction form
    577,402,296/1,362,566,076 = 1,362,566,076/x
  3. Step 3: Cross multiply
    577,402,296x = 1,362,566,076 × 1,362,566,076
  4. Step 4: Simplify right side
    577,402,296x = 1,856,586,311,466,037,760
  5. Step 5: Solve for x
    x = 1,856,586,311,466,037,760/577,402,296
  6. Step 6: Final answer
    x = 3,215,412,069.41

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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.