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Finding the Third Proportional to 31,984,926 and 45,584,973

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Solution

The third proportional to 31,984,926 and 45,584,973 is: 64,967,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,926 : 45,584,973 = 45,584,973 : x
  2. Step 2: Convert to fraction form
    31,984,926/45,584,973 = 45,584,973/x
  3. Step 3: Cross multiply
    31,984,926x = 45,584,973 × 45,584,973
  4. Step 4: Simplify right side
    31,984,926x = 2,077,989,763,410,729
  5. Step 5: Solve for x
    x = 2,077,989,763,410,729/31,984,926
  6. Step 6: Final answer
    x = 64,967,783.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.