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Finding the Third Proportional to 10,932,633 and 23,918,421

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Solution

The third proportional to 10,932,633 and 23,918,421 is: 52,328,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932,633 : 23,918,421 = 23,918,421 : x
  2. Step 2: Convert to fraction form
    10,932,633/23,918,421 = 23,918,421/x
  3. Step 3: Cross multiply
    10,932,633x = 23,918,421 × 23,918,421
  4. Step 4: Simplify right side
    10,932,633x = 572,090,863,133,241
  5. Step 5: Solve for x
    x = 572,090,863,133,241/10,932,633
  6. Step 6: Final answer
    x = 52,328,735.73

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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.