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Finding the Third Proportional to 229,094,810,712 and 464,721,976,032

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Solution

The third proportional to 229,094,810,712 and 464,721,976,032 is: 942,694,923,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,094,810,712 : 464,721,976,032 = 464,721,976,032 : x
  2. Step 2: Convert to fraction form
    229,094,810,712/464,721,976,032 = 464,721,976,032/x
  3. Step 3: Cross multiply
    229,094,810,712x = 464,721,976,032 × 464,721,976,032
  4. Step 4: Simplify right side
    229,094,810,712x = 215,966,515,007,086,779,170,816
  5. Step 5: Solve for x
    x = 215,966,515,007,086,779,170,816/229,094,810,712
  6. Step 6: Final answer
    x = 942,694,923,276.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.