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Finding the Third Proportional to 35,715,672 and 77,519,952

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Solution

The third proportional to 35,715,672 and 77,519,952 is: 168,255,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,672 : 77,519,952 = 77,519,952 : x
  2. Step 2: Convert to fraction form
    35,715,672/77,519,952 = 77,519,952/x
  3. Step 3: Cross multiply
    35,715,672x = 77,519,952 × 77,519,952
  4. Step 4: Simplify right side
    35,715,672x = 6,009,342,958,082,304
  5. Step 5: Solve for x
    x = 6,009,342,958,082,304/35,715,672
  6. Step 6: Final answer
    x = 168,255,071.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.