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Finding the Third Proportional to 7,670,442,501 and 17,921,614,729

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Solution

The third proportional to 7,670,442,501 and 17,921,614,729 is: 41,872,978,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,442,501 : 17,921,614,729 = 17,921,614,729 : x
  2. Step 2: Convert to fraction form
    7,670,442,501/17,921,614,729 = 17,921,614,729/x
  3. Step 3: Cross multiply
    7,670,442,501x = 17,921,614,729 × 17,921,614,729
  4. Step 4: Simplify right side
    7,670,442,501x = 321,184,274,494,709,760,000
  5. Step 5: Solve for x
    x = 321,184,274,494,709,760,000/7,670,442,501
  6. Step 6: Final answer
    x = 41,872,978,573.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.