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Finding the Third Proportional to 274,401,456,585 and 594,389,371,026

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Solution

The third proportional to 274,401,456,585 and 594,389,371,026 is: 1,287,524,959,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,401,456,585 : 594,389,371,026 = 594,389,371,026 : x
  2. Step 2: Convert to fraction form
    274,401,456,585/594,389,371,026 = 594,389,371,026/x
  3. Step 3: Cross multiply
    274,401,456,585x = 594,389,371,026 × 594,389,371,026
  4. Step 4: Simplify right side
    274,401,456,585x = 353,298,724,388,683,896,586,240
  5. Step 5: Solve for x
    x = 353,298,724,388,683,896,586,240/274,401,456,585
  6. Step 6: Final answer
    x = 1,287,524,959,909.40

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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.