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Finding the Third Proportional to 4,664,401,886 and 7,152,502,396

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Solution

The third proportional to 4,664,401,886 and 7,152,502,396 is: 10,967,813,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664,401,886 : 7,152,502,396 = 7,152,502,396 : x
  2. Step 2: Convert to fraction form
    4,664,401,886/7,152,502,396 = 7,152,502,396/x
  3. Step 3: Cross multiply
    4,664,401,886x = 7,152,502,396 × 7,152,502,396
  4. Step 4: Simplify right side
    4,664,401,886x = 51,158,290,524,785,737,728
  5. Step 5: Solve for x
    x = 51,158,290,524,785,737,728/4,664,401,886
  6. Step 6: Final answer
    x = 10,967,813,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.