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Finding the Third Proportional to 59,208,305,072 and 129,266,398,600

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Solution

The third proportional to 59,208,305,072 and 129,266,398,600 is: 282,220,573,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,208,305,072 : 129,266,398,600 = 129,266,398,600 : x
  2. Step 2: Convert to fraction form
    59,208,305,072/129,266,398,600 = 129,266,398,600/x
  3. Step 3: Cross multiply
    59,208,305,072x = 129,266,398,600 × 129,266,398,600
  4. Step 4: Simplify right side
    59,208,305,072x = 16,709,801,807,014,082,379,776
  5. Step 5: Solve for x
    x = 16,709,801,807,014,082,379,776/59,208,305,072
  6. Step 6: Final answer
    x = 282,220,573,392.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.