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Finding the Third Proportional to 12,121,193,360 and 28,320,577,022

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Solution

The third proportional to 12,121,193,360 and 28,320,577,022 is: 66,169,646,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121,193,360 : 28,320,577,022 = 28,320,577,022 : x
  2. Step 2: Convert to fraction form
    12,121,193,360/28,320,577,022 = 28,320,577,022/x
  3. Step 3: Cross multiply
    12,121,193,360x = 28,320,577,022 × 28,320,577,022
  4. Step 4: Simplify right side
    12,121,193,360x = 802,055,082,859,034,443,776
  5. Step 5: Solve for x
    x = 802,055,082,859,034,443,776/12,121,193,360
  6. Step 6: Final answer
    x = 66,169,646,753.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.