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Finding the Third Proportional to 35,645,208 and 76,406,217

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Solution

The third proportional to 35,645,208 and 76,406,217 is: 163,778,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645,208 : 76,406,217 = 76,406,217 : x
  2. Step 2: Convert to fraction form
    35,645,208/76,406,217 = 76,406,217/x
  3. Step 3: Cross multiply
    35,645,208x = 76,406,217 × 76,406,217
  4. Step 4: Simplify right side
    35,645,208x = 5,837,909,996,251,089
  5. Step 5: Solve for x
    x = 5,837,909,996,251,089/35,645,208
  6. Step 6: Final answer
    x = 163,778,255.87

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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.