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Finding the Third Proportional to 548,747,861,820 and 1,188,680,636,254

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Solution

The third proportional to 548,747,861,820 and 1,188,680,636,254 is: 2,574,883,208,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,747,861,820 : 1,188,680,636,254 = 1,188,680,636,254 : x
  2. Step 2: Convert to fraction form
    548,747,861,820/1,188,680,636,254 = 1,188,680,636,254/x
  3. Step 3: Cross multiply
    548,747,861,820x = 1,188,680,636,254 × 1,188,680,636,254
  4. Step 4: Simplify right side
    548,747,861,820x = 1,412,961,655,005,214,345,789,440
  5. Step 5: Solve for x
    x = 1,412,961,655,005,214,345,789,440/548,747,861,820
  6. Step 6: Final answer
    x = 2,574,883,208,326.18

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