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Finding the Third Proportional to 2,125,779,633 and 4,638,378,330

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Solution

The third proportional to 2,125,779,633 and 4,638,378,330 is: 10,120,782,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,779,633 : 4,638,378,330 = 4,638,378,330 : x
  2. Step 2: Convert to fraction form
    2,125,779,633/4,638,378,330 = 4,638,378,330/x
  3. Step 3: Cross multiply
    2,125,779,633x = 4,638,378,330 × 4,638,378,330
  4. Step 4: Simplify right side
    2,125,779,633x = 21,514,553,532,213,587,968
  5. Step 5: Solve for x
    x = 21,514,553,532,213,587,968/2,125,779,633
  6. Step 6: Final answer
    x = 10,120,782,605.23

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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.