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Finding the Third Proportional to 528,269,590.13 and 1,147,565,265.75

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Solution

The third proportional to 528,269,590.13 and 1,147,565,265.75 is: 2,492,867,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,269,590.13 : 1,147,565,265.75 = 1,147,565,265.75 : x
  2. Step 2: Convert to fraction form
    528,269,590.13/1,147,565,265.75 = 1,147,565,265.75/x
  3. Step 3: Cross multiply
    528,269,590.13x = 1,147,565,265.75 × 1,147,565,265.75
  4. Step 4: Simplify right side
    528,269,590.13x = 1,316,906,039,155,868,160
  5. Step 5: Solve for x
    x = 1,316,906,039,155,868,160/528,269,590.13
  6. Step 6: Final answer
    x = 2,492,867,399.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.