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Finding the Third Proportional to 4,812,963,858 and 10,288,289,575.13

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Solution

The third proportional to 4,812,963,858 and 10,288,289,575.13 is: 21,992,457,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812,963,858 : 10,288,289,575.13 = 10,288,289,575.13 : x
  2. Step 2: Convert to fraction form
    4,812,963,858/10,288,289,575.13 = 10,288,289,575.13/x
  3. Step 3: Cross multiply
    4,812,963,858x = 10,288,289,575.13 × 10,288,289,575.13
  4. Step 4: Simplify right side
    4,812,963,858x = 105,848,902,381,625,753,600
  5. Step 5: Solve for x
    x = 105,848,902,381,625,753,600/4,812,963,858
  6. Step 6: Final answer
    x = 21,992,457,351.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.