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Finding the Third Proportional to 590,326,086.38 and 1,291,856,667.75

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Solution

The third proportional to 590,326,086.38 and 1,291,856,667.75 is: 2,827,070,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326,086.38 : 1,291,856,667.75 = 1,291,856,667.75 : x
  2. Step 2: Convert to fraction form
    590,326,086.38/1,291,856,667.75 = 1,291,856,667.75/x
  3. Step 3: Cross multiply
    590,326,086.38x = 1,291,856,667.75 × 1,291,856,667.75
  4. Step 4: Simplify right side
    590,326,086.38x = 1,668,893,650,010,134,016
  5. Step 5: Solve for x
    x = 1,668,893,650,010,134,016/590,326,086.38
  6. Step 6: Final answer
    x = 2,827,070,814.81

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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.