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Finding the Third Proportional to 763,308,884 and 1,661,779,296

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Solution

The third proportional to 763,308,884 and 1,661,779,296 is: 3,617,815,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,308,884 : 1,661,779,296 = 1,661,779,296 : x
  2. Step 2: Convert to fraction form
    763,308,884/1,661,779,296 = 1,661,779,296/x
  3. Step 3: Cross multiply
    763,308,884x = 1,661,779,296 × 1,661,779,296
  4. Step 4: Simplify right side
    763,308,884x = 2,761,510,428,614,255,616
  5. Step 5: Solve for x
    x = 2,761,510,428,614,255,616/763,308,884
  6. Step 6: Final answer
    x = 3,617,815,128.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.