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Finding the Third Proportional to 37,320,146 and 77,619,700

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Solution

The third proportional to 37,320,146 and 77,619,700 is: 161,436,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320,146 : 77,619,700 = 77,619,700 : x
  2. Step 2: Convert to fraction form
    37,320,146/77,619,700 = 77,619,700/x
  3. Step 3: Cross multiply
    37,320,146x = 77,619,700 × 77,619,700
  4. Step 4: Simplify right side
    37,320,146x = 6,024,817,828,090,000
  5. Step 5: Solve for x
    x = 6,024,817,828,090,000/37,320,146
  6. Step 6: Final answer
    x = 161,436,073.38

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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.