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Finding the Third Proportional to 20,137,963,859 and 31,590,522,545

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Solution

The third proportional to 20,137,963,859 and 31,590,522,545 is: 49,556,207,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137,963,859 : 31,590,522,545 = 31,590,522,545 : x
  2. Step 2: Convert to fraction form
    20,137,963,859/31,590,522,545 = 31,590,522,545/x
  3. Step 3: Cross multiply
    20,137,963,859x = 31,590,522,545 × 31,590,522,545
  4. Step 4: Simplify right side
    20,137,963,859x = 997,961,114,666,153,279,488
  5. Step 5: Solve for x
    x = 997,961,114,666,153,279,488/20,137,963,859
  6. Step 6: Final answer
    x = 49,556,207,452.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.