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Finding the Third Proportional to 21,165,921 and 46,367,613

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Solution

The third proportional to 21,165,921 and 46,367,613 is: 101,576,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165,921 : 46,367,613 = 46,367,613 : x
  2. Step 2: Convert to fraction form
    21,165,921/46,367,613 = 46,367,613/x
  3. Step 3: Cross multiply
    21,165,921x = 46,367,613 × 46,367,613
  4. Step 4: Simplify right side
    21,165,921x = 2,149,955,535,317,769
  5. Step 5: Solve for x
    x = 2,149,955,535,317,769/21,165,921
  6. Step 6: Final answer
    x = 101,576,280.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.