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Finding the Third Proportional to 884,672,658 and 1,916,554,446

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Solution

The third proportional to 884,672,658 and 1,916,554,446 is: 4,152,022,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,672,658 : 1,916,554,446 = 1,916,554,446 : x
  2. Step 2: Convert to fraction form
    884,672,658/1,916,554,446 = 1,916,554,446/x
  3. Step 3: Cross multiply
    884,672,658x = 1,916,554,446 × 1,916,554,446
  4. Step 4: Simplify right side
    884,672,658x = 3,673,180,944,482,366,976
  5. Step 5: Solve for x
    x = 3,673,180,944,482,366,976/884,672,658
  6. Step 6: Final answer
    x = 4,152,022,684.62

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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.