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Finding the Third Proportional to 815,288,229,877.10 and 1,773,716,738,122.10

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Solution

The third proportional to 815,288,229,877.10 and 1,773,716,738,122.10 is: 3,858,845,193,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,288,229,877.10 : 1,773,716,738,122.10 = 1,773,716,738,122.10 : x
  2. Step 2: Convert to fraction form
    815,288,229,877.10/1,773,716,738,122.10 = 1,773,716,738,122.10/x
  3. Step 3: Cross multiply
    815,288,229,877.10x = 1,773,716,738,122.10 × 1,773,716,738,122.10
  4. Step 4: Simplify right side
    815,288,229,877.10x = 3,146,071,067,094,502,585,925,632
  5. Step 5: Solve for x
    x = 3,146,071,067,094,502,585,925,632/815,288,229,877.10
  6. Step 6: Final answer
    x = 3,858,845,193,397.13

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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.