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Finding the Third Proportional to 457,830,556 and 991,663,736

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Solution

The third proportional to 457,830,556 and 991,663,736 is: 2,147,949,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830,556 : 991,663,736 = 991,663,736 : x
  2. Step 2: Convert to fraction form
    457,830,556/991,663,736 = 991,663,736/x
  3. Step 3: Cross multiply
    457,830,556x = 991,663,736 × 991,663,736
  4. Step 4: Simplify right side
    457,830,556x = 983,396,965,297,477,632
  5. Step 5: Solve for x
    x = 983,396,965,297,477,632/457,830,556
  6. Step 6: Final answer
    x = 2,147,949,612.38

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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.