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Finding the Third Proportional to 86,234,782,412 and 187,654,441,702

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Solution

The third proportional to 86,234,782,412 and 187,654,441,702 is: 408,352,505,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,234,782,412 : 187,654,441,702 = 187,654,441,702 : x
  2. Step 2: Convert to fraction form
    86,234,782,412/187,654,441,702 = 187,654,441,702/x
  3. Step 3: Cross multiply
    86,234,782,412x = 187,654,441,702 × 187,654,441,702
  4. Step 4: Simplify right side
    86,234,782,412x = 35,214,189,490,489,316,605,952
  5. Step 5: Solve for x
    x = 35,214,189,490,489,316,605,952/86,234,782,412
  6. Step 6: Final answer
    x = 408,352,505,862.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.