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Finding the Third Proportional to 21,613,917 and 46,316,835

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Solution

The third proportional to 21,613,917 and 46,316,835 is: 99,253,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613,917 : 46,316,835 = 46,316,835 : x
  2. Step 2: Convert to fraction form
    21,613,917/46,316,835 = 46,316,835/x
  3. Step 3: Cross multiply
    21,613,917x = 46,316,835 × 46,316,835
  4. Step 4: Simplify right side
    21,613,917x = 2,145,249,204,417,225
  5. Step 5: Solve for x
    x = 2,145,249,204,417,225/21,613,917
  6. Step 6: Final answer
    x = 99,253,143.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.