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Finding the Third Proportional to 9,287,612,610 and 20,207,724,492

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Solution

The third proportional to 9,287,612,610 and 20,207,724,492 is: 43,967,394,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,612,610 : 20,207,724,492 = 20,207,724,492 : x
  2. Step 2: Convert to fraction form
    9,287,612,610/20,207,724,492 = 20,207,724,492/x
  3. Step 3: Cross multiply
    9,287,612,610x = 20,207,724,492 × 20,207,724,492
  4. Step 4: Simplify right side
    9,287,612,610x = 408,352,129,144,576,671,744
  5. Step 5: Solve for x
    x = 408,352,129,144,576,671,744/9,287,612,610
  6. Step 6: Final answer
    x = 43,967,394,667.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.