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Finding the Third Proportional to 3,485,299,229,234 and 7,460,200,158,958

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Solution

The third proportional to 3,485,299,229,234 and 7,460,200,158,958 is: 15,968,381,120,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485,299,229,234 : 7,460,200,158,958 = 7,460,200,158,958 : x
  2. Step 2: Convert to fraction form
    3,485,299,229,234/7,460,200,158,958 = 7,460,200,158,958/x
  3. Step 3: Cross multiply
    3,485,299,229,234x = 7,460,200,158,958 × 7,460,200,158,958
  4. Step 4: Simplify right side
    3,485,299,229,234x = 55,654,586,411,716,967,323,926,528
  5. Step 5: Solve for x
    x = 55,654,586,411,716,967,323,926,528/3,485,299,229,234
  6. Step 6: Final answer
    x = 15,968,381,120,592.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.