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Finding the Third Proportional to 35,468,524.69 and 76,406,736.38

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Solution

The third proportional to 35,468,524.69 and 76,406,736.38 is: 164,596,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468,524.69 : 76,406,736.38 = 76,406,736.38 : x
  2. Step 2: Convert to fraction form
    35,468,524.69/76,406,736.38 = 76,406,736.38/x
  3. Step 3: Cross multiply
    35,468,524.69x = 76,406,736.38 × 76,406,736.38
  4. Step 4: Simplify right side
    35,468,524.69x = 5,837,989,363,478,748
  5. Step 5: Solve for x
    x = 5,837,989,363,478,748/35,468,524.69
  6. Step 6: Final answer
    x = 164,596,340.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.