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Finding the Third Proportional to 37,949,784 and 83,212,896

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Solution

The third proportional to 37,949,784 and 83,212,896 is: 182,461,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,949,784 : 83,212,896 = 83,212,896 : x
  2. Step 2: Convert to fraction form
    37,949,784/83,212,896 = 83,212,896/x
  3. Step 3: Cross multiply
    37,949,784x = 83,212,896 × 83,212,896
  4. Step 4: Simplify right side
    37,949,784x = 6,924,386,060,706,816
  5. Step 5: Solve for x
    x = 6,924,386,060,706,816/37,949,784
  6. Step 6: Final answer
    x = 182,461,804.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.