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Finding the Third Proportional to 35,645,188 and 76,406,178

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Solution

The third proportional to 35,645,188 and 76,406,178 is: 163,778,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645,188 : 76,406,178 = 76,406,178 : x
  2. Step 2: Convert to fraction form
    35,645,188/76,406,178 = 76,406,178/x
  3. Step 3: Cross multiply
    35,645,188x = 76,406,178 × 76,406,178
  4. Step 4: Simplify right side
    35,645,188x = 5,837,904,036,567,684
  5. Step 5: Solve for x
    x = 5,837,904,036,567,684/35,645,188
  6. Step 6: Final answer
    x = 163,778,180.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.