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Finding the Third Proportional to 4,287,529,230 and 9,287,344,554

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Solution

The third proportional to 4,287,529,230 and 9,287,344,554 is: 20,117,593,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,529,230 : 9,287,344,554 = 9,287,344,554 : x
  2. Step 2: Convert to fraction form
    4,287,529,230/9,287,344,554 = 9,287,344,554/x
  3. Step 3: Cross multiply
    4,287,529,230x = 9,287,344,554 × 9,287,344,554
  4. Step 4: Simplify right side
    4,287,529,230x = 86,254,768,864,713,457,664
  5. Step 5: Solve for x
    x = 86,254,768,864,713,457,664/4,287,529,230
  6. Step 6: Final answer
    x = 20,117,593,195.91

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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.