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Finding the Third Proportional to 57,570,358 and 82,326,291

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Solution

The third proportional to 57,570,358 and 82,326,291 is: 117,727,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570,358 : 82,326,291 = 82,326,291 : x
  2. Step 2: Convert to fraction form
    57,570,358/82,326,291 = 82,326,291/x
  3. Step 3: Cross multiply
    57,570,358x = 82,326,291 × 82,326,291
  4. Step 4: Simplify right side
    57,570,358x = 6,777,618,189,816,681
  5. Step 5: Solve for x
    x = 6,777,618,189,816,681/57,570,358
  6. Step 6: Final answer
    x = 117,727,567.19

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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.