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Finding the Third Proportional to 10,611,399 and 22,735,655.25

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Solution

The third proportional to 10,611,399 and 22,735,655.25 is: 48,712,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611,399 : 22,735,655.25 = 22,735,655.25 : x
  2. Step 2: Convert to fraction form
    10,611,399/22,735,655.25 = 22,735,655.25/x
  3. Step 3: Cross multiply
    10,611,399x = 22,735,655.25 × 22,735,655.25
  4. Step 4: Simplify right side
    10,611,399x = 516,910,019,646,852.56
  5. Step 5: Solve for x
    x = 516,910,019,646,852.56/10,611,399
  6. Step 6: Final answer
    x = 48,712,711.65

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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.