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Finding the Third Proportional to 7,798,864.13 and 16,830,837.38

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Solution

The third proportional to 7,798,864.13 and 16,830,837.38 is: 36,322,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,864.13 : 16,830,837.38 = 16,830,837.38 : x
  2. Step 2: Convert to fraction form
    7,798,864.13/16,830,837.38 = 16,830,837.38/x
  3. Step 3: Cross multiply
    7,798,864.13x = 16,830,837.38 × 16,830,837.38
  4. Step 4: Simplify right side
    7,798,864.13x = 283,277,086,743,696.88
  5. Step 5: Solve for x
    x = 283,277,086,743,696.88/7,798,864.13
  6. Step 6: Final answer
    x = 36,322,864.74

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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.