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Finding the Third Proportional to 274,401,456,584 and 594,389,371,024

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Solution

The third proportional to 274,401,456,584 and 594,389,371,024 is: 1,287,524,959,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,401,456,584 : 594,389,371,024 = 594,389,371,024 : x
  2. Step 2: Convert to fraction form
    274,401,456,584/594,389,371,024 = 594,389,371,024/x
  3. Step 3: Cross multiply
    274,401,456,584x = 594,389,371,024 × 594,389,371,024
  4. Step 4: Simplify right side
    274,401,456,584x = 353,298,724,386,306,363,752,448
  5. Step 5: Solve for x
    x = 353,298,724,386,306,363,752,448/274,401,456,584
  6. Step 6: Final answer
    x = 1,287,524,959,905.43

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Why These Related Problems?

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