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Finding the Third Proportional to 457,308,048 and 973,606,944

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Solution

The third proportional to 457,308,048 and 973,606,944 is: 2,072,805,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,308,048 : 973,606,944 = 973,606,944 : x
  2. Step 2: Convert to fraction form
    457,308,048/973,606,944 = 973,606,944/x
  3. Step 3: Cross multiply
    457,308,048x = 973,606,944 × 973,606,944
  4. Step 4: Simplify right side
    457,308,048x = 947,910,481,405,019,136
  5. Step 5: Solve for x
    x = 947,910,481,405,019,136/457,308,048
  6. Step 6: Final answer
    x = 2,072,805,159.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.