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Finding the Third Proportional to 17,773,087,072 and 38,220,962,624

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Solution

The third proportional to 17,773,087,072 and 38,220,962,624 is: 82,194,048,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773,087,072 : 38,220,962,624 = 38,220,962,624 : x
  2. Step 2: Convert to fraction form
    17,773,087,072/38,220,962,624 = 38,220,962,624/x
  3. Step 3: Cross multiply
    17,773,087,072x = 38,220,962,624 × 38,220,962,624
  4. Step 4: Simplify right side
    17,773,087,072x = 1,460,841,983,905,205,059,584
  5. Step 5: Solve for x
    x = 1,460,841,983,905,205,059,584/17,773,087,072
  6. Step 6: Final answer
    x = 82,194,048,675.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.