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Finding the Third Proportional to 832,964,547,897 and 1,172,997,635,240.20

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Solution

The third proportional to 832,964,547,897 and 1,172,997,635,240.20 is: 1,651,839,151,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,964,547,897 : 1,172,997,635,240.20 = 1,172,997,635,240.20 : x
  2. Step 2: Convert to fraction form
    832,964,547,897/1,172,997,635,240.20 = 1,172,997,635,240.20/x
  3. Step 3: Cross multiply
    832,964,547,897x = 1,172,997,635,240.20 × 1,172,997,635,240.20
  4. Step 4: Simplify right side
    832,964,547,897x = 1,375,923,452,279,101,178,511,360
  5. Step 5: Solve for x
    x = 1,375,923,452,279,101,178,511,360/832,964,547,897
  6. Step 6: Final answer
    x = 1,651,839,151,801.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.