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Finding the Third Proportional to 35,511,953,164 and 77,275,440,612

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Solution

The third proportional to 35,511,953,164 and 77,275,440,612 is: 168,154,471,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511,953,164 : 77,275,440,612 = 77,275,440,612 : x
  2. Step 2: Convert to fraction form
    35,511,953,164/77,275,440,612 = 77,275,440,612/x
  3. Step 3: Cross multiply
    35,511,953,164x = 77,275,440,612 × 77,275,440,612
  4. Step 4: Simplify right side
    35,511,953,164x = 5,971,493,721,778,738,429,952
  5. Step 5: Solve for x
    x = 5,971,493,721,778,738,429,952/35,511,953,164
  6. Step 6: Final answer
    x = 168,154,471,656.39

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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.