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Finding the Third Proportional to 31,552,432 and 45,089,160

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Solution

The third proportional to 31,552,432 and 45,089,160 is: 64,433,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552,432 : 45,089,160 = 45,089,160 : x
  2. Step 2: Convert to fraction form
    31,552,432/45,089,160 = 45,089,160/x
  3. Step 3: Cross multiply
    31,552,432x = 45,089,160 × 45,089,160
  4. Step 4: Simplify right side
    31,552,432x = 2,033,032,349,505,600
  5. Step 5: Solve for x
    x = 2,033,032,349,505,600/31,552,432
  6. Step 6: Final answer
    x = 64,433,459.50

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Why These Related Problems?

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