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Finding the Third Proportional to 12,265,191,909 and 26,623,656,715.50

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Solution

The third proportional to 12,265,191,909 and 26,623,656,715.50 is: 57,791,113,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265,191,909 : 26,623,656,715.50 = 26,623,656,715.50 : x
  2. Step 2: Convert to fraction form
    12,265,191,909/26,623,656,715.50 = 26,623,656,715.50/x
  3. Step 3: Cross multiply
    12,265,191,909x = 26,623,656,715.50 × 26,623,656,715.50
  4. Step 4: Simplify right side
    12,265,191,909x = 708,819,096,904,788,213,760
  5. Step 5: Solve for x
    x = 708,819,096,904,788,213,760/12,265,191,909
  6. Step 6: Final answer
    x = 57,791,113,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.