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Finding the Third Proportional to 7,399,124,260 and 17,265,219,896

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Solution

The third proportional to 7,399,124,260 and 17,265,219,896 is: 40,286,905,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399,124,260 : 17,265,219,896 = 17,265,219,896 : x
  2. Step 2: Convert to fraction form
    7,399,124,260/17,265,219,896 = 17,265,219,896/x
  3. Step 3: Cross multiply
    7,399,124,260x = 17,265,219,896 × 17,265,219,896
  4. Step 4: Simplify right side
    7,399,124,260x = 298,087,818,057,234,251,776
  5. Step 5: Solve for x
    x = 298,087,818,057,234,251,776/7,399,124,260
  6. Step 6: Final answer
    x = 40,286,905,258.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.