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Finding the Third Proportional to 12,186,063,864 and 26,535,512,772

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Solution

The third proportional to 12,186,063,864 and 26,535,512,772 is: 57,781,860,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186,063,864 : 26,535,512,772 = 26,535,512,772 : x
  2. Step 2: Convert to fraction form
    12,186,063,864/26,535,512,772 = 26,535,512,772/x
  3. Step 3: Cross multiply
    12,186,063,864x = 26,535,512,772 × 26,535,512,772
  4. Step 4: Simplify right side
    12,186,063,864x = 704,133,438,072,975,130,624
  5. Step 5: Solve for x
    x = 704,133,438,072,975,130,624/12,186,063,864
  6. Step 6: Final answer
    x = 57,781,860,158.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.