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Finding the Third Proportional to 32,846,588 and 77,537,456

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Solution

The third proportional to 32,846,588 and 77,537,456 is: 183,034,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846,588 : 77,537,456 = 77,537,456 : x
  2. Step 2: Convert to fraction form
    32,846,588/77,537,456 = 77,537,456/x
  3. Step 3: Cross multiply
    32,846,588x = 77,537,456 × 77,537,456
  4. Step 4: Simplify right side
    32,846,588x = 6,012,057,082,951,936
  5. Step 5: Solve for x
    x = 6,012,057,082,951,936/32,846,588
  6. Step 6: Final answer
    x = 183,034,447.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.