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Finding the Third Proportional to 576,045,072 and 1,242,162,144

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Solution

The third proportional to 576,045,072 and 1,242,162,144 is: 2,678,552,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,045,072 : 1,242,162,144 = 1,242,162,144 : x
  2. Step 2: Convert to fraction form
    576,045,072/1,242,162,144 = 1,242,162,144/x
  3. Step 3: Cross multiply
    576,045,072x = 1,242,162,144 × 1,242,162,144
  4. Step 4: Simplify right side
    576,045,072x = 1,542,966,791,986,676,736
  5. Step 5: Solve for x
    x = 1,542,966,791,986,676,736/576,045,072
  6. Step 6: Final answer
    x = 2,678,552,194.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.