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Finding the Third Proportional to 2,180,988,752 and 4,694,541,472

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Solution

The third proportional to 2,180,988,752 and 4,694,541,472 is: 10,104,921,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,988,752 : 4,694,541,472 = 4,694,541,472 : x
  2. Step 2: Convert to fraction form
    2,180,988,752/4,694,541,472 = 4,694,541,472/x
  3. Step 3: Cross multiply
    2,180,988,752x = 4,694,541,472 × 4,694,541,472
  4. Step 4: Simplify right side
    2,180,988,752x = 22,038,719,632,327,925,760
  5. Step 5: Solve for x
    x = 22,038,719,632,327,925,760/2,180,988,752
  6. Step 6: Final answer
    x = 10,104,921,271.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.