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Finding the Third Proportional to 1,637,393,122 and 2,673,432,363

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Solution

The third proportional to 1,637,393,122 and 2,673,432,363 is: 4,365,011,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,393,122 : 2,673,432,363 = 2,673,432,363 : x
  2. Step 2: Convert to fraction form
    1,637,393,122/2,673,432,363 = 2,673,432,363/x
  3. Step 3: Cross multiply
    1,637,393,122x = 2,673,432,363 × 2,673,432,363
  4. Step 4: Simplify right side
    1,637,393,122x = 7,147,240,599,535,763,456
  5. Step 5: Solve for x
    x = 7,147,240,599,535,763,456/1,637,393,122
  6. Step 6: Final answer
    x = 4,365,011,983.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.