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Finding the Third Proportional to 4,606,277,904 and 9,946,534,080

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Solution

The third proportional to 4,606,277,904 and 9,946,534,080 is: 21,477,979,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606,277,904 : 9,946,534,080 = 9,946,534,080 : x
  2. Step 2: Convert to fraction form
    4,606,277,904/9,946,534,080 = 9,946,534,080/x
  3. Step 3: Cross multiply
    4,606,277,904x = 9,946,534,080 × 9,946,534,080
  4. Step 4: Simplify right side
    4,606,277,904x = 98,933,540,204,601,442,304
  5. Step 5: Solve for x
    x = 98,933,540,204,601,442,304/4,606,277,904
  6. Step 6: Final answer
    x = 21,477,979,024.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.