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Finding the Third Proportional to 7,350,285,984 and 11,297,921,040

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Solution

The third proportional to 7,350,285,984 and 11,297,921,040 is: 17,365,721,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350,285,984 : 11,297,921,040 = 11,297,921,040 : x
  2. Step 2: Convert to fraction form
    7,350,285,984/11,297,921,040 = 11,297,921,040/x
  3. Step 3: Cross multiply
    7,350,285,984x = 11,297,921,040 × 11,297,921,040
  4. Step 4: Simplify right side
    7,350,285,984x = 127,643,019,826,074,681,344
  5. Step 5: Solve for x
    x = 127,643,019,826,074,681,344/7,350,285,984
  6. Step 6: Final answer
    x = 17,365,721,565.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.