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Finding the Third Proportional to 37,388,235 and 77,748,603

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Solution

The third proportional to 37,388,235 and 77,748,603 is: 161,677,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,388,235 : 77,748,603 = 77,748,603 : x
  2. Step 2: Convert to fraction form
    37,388,235/77,748,603 = 77,748,603/x
  3. Step 3: Cross multiply
    37,388,235x = 77,748,603 × 77,748,603
  4. Step 4: Simplify right side
    37,388,235x = 6,044,845,268,451,609
  5. Step 5: Solve for x
    x = 6,044,845,268,451,609/37,388,235
  6. Step 6: Final answer
    x = 161,677,738.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.