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Finding the Third Proportional to 37,110,965 and 76,767,598

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Solution

The third proportional to 37,110,965 and 76,767,598 is: 158,801,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110,965 : 76,767,598 = 76,767,598 : x
  2. Step 2: Convert to fraction form
    37,110,965/76,767,598 = 76,767,598/x
  3. Step 3: Cross multiply
    37,110,965x = 76,767,598 × 76,767,598
  4. Step 4: Simplify right side
    37,110,965x = 5,893,264,102,689,604
  5. Step 5: Solve for x
    x = 5,893,264,102,689,604/37,110,965
  6. Step 6: Final answer
    x = 158,801,154.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.