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Finding the Third Proportional to 1,664,923,663,772 and 2,649,220,846,644

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Solution

The third proportional to 1,664,923,663,772 and 2,649,220,846,644 is: 4,215,431,161,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,923,663,772 : 2,649,220,846,644 = 2,649,220,846,644 : x
  2. Step 2: Convert to fraction form
    1,664,923,663,772/2,649,220,846,644 = 2,649,220,846,644/x
  3. Step 3: Cross multiply
    1,664,923,663,772x = 2,649,220,846,644 × 2,649,220,846,644
  4. Step 4: Simplify right side
    1,664,923,663,772x = 7,018,371,094,293,152,371,048,448
  5. Step 5: Solve for x
    x = 7,018,371,094,293,152,371,048,448/1,664,923,663,772
  6. Step 6: Final answer
    x = 4,215,431,161,806.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.