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Finding the Third Proportional to 57,570,282 and 82,326,181

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Solution

The third proportional to 57,570,282 and 82,326,181 is: 117,727,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570,282 : 82,326,181 = 82,326,181 : x
  2. Step 2: Convert to fraction form
    57,570,282/82,326,181 = 82,326,181/x
  3. Step 3: Cross multiply
    57,570,282x = 82,326,181 × 82,326,181
  4. Step 4: Simplify right side
    57,570,282x = 6,777,600,078,044,761
  5. Step 5: Solve for x
    x = 6,777,600,078,044,761/57,570,282
  6. Step 6: Final answer
    x = 117,727,408.01

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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.