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Finding the Third Proportional to 468,542,558,212 and 659,811,169,850

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Solution

The third proportional to 468,542,558,212 and 659,811,169,850 is: 929,159,522,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,542,558,212 : 659,811,169,850 = 659,811,169,850 : x
  2. Step 2: Convert to fraction form
    468,542,558,212/659,811,169,850 = 659,811,169,850/x
  3. Step 3: Cross multiply
    468,542,558,212x = 659,811,169,850 × 659,811,169,850
  4. Step 4: Simplify right side
    468,542,558,212x = 435,350,779,858,825,542,369,280
  5. Step 5: Solve for x
    x = 435,350,779,858,825,542,369,280/468,542,558,212
  6. Step 6: Final answer
    x = 929,159,522,926.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.