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Finding the Third Proportional to 133,384,896 and 289,035,810

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Solution

The third proportional to 133,384,896 and 289,035,810 is: 626,320,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384,896 : 289,035,810 = 289,035,810 : x
  2. Step 2: Convert to fraction form
    133,384,896/289,035,810 = 289,035,810/x
  3. Step 3: Cross multiply
    133,384,896x = 289,035,810 × 289,035,810
  4. Step 4: Simplify right side
    133,384,896x = 83,541,699,462,356,096
  5. Step 5: Solve for x
    x = 83,541,699,462,356,096/133,384,896
  6. Step 6: Final answer
    x = 626,320,535.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.