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Finding the Third Proportional to 59,208,305,084 and 129,266,398,624

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Solution

The third proportional to 59,208,305,084 and 129,266,398,624 is: 282,220,573,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,208,305,084 : 129,266,398,624 = 129,266,398,624 : x
  2. Step 2: Convert to fraction form
    59,208,305,084/129,266,398,624 = 129,266,398,624/x
  3. Step 3: Cross multiply
    59,208,305,084x = 129,266,398,624 × 129,266,398,624
  4. Step 4: Simplify right side
    59,208,305,084x = 16,709,801,813,218,869,379,072
  5. Step 5: Solve for x
    x = 16,709,801,813,218,869,379,072/59,208,305,084
  6. Step 6: Final answer
    x = 282,220,573,440.03

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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.