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Finding the Third Proportional to 10,766,421 and 23,625,402.75

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Solution

The third proportional to 10,766,421 and 23,625,402.75 is: 51,842,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766,421 : 23,625,402.75 = 23,625,402.75 : x
  2. Step 2: Convert to fraction form
    10,766,421/23,625,402.75 = 23,625,402.75/x
  3. Step 3: Cross multiply
    10,766,421x = 23,625,402.75 × 23,625,402.75
  4. Step 4: Simplify right side
    10,766,421x = 558,159,655,099,707.56
  5. Step 5: Solve for x
    x = 558,159,655,099,707.56/10,766,421
  6. Step 6: Final answer
    x = 51,842,636.94

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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.