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Finding the Third Proportional to 2,718,510,624 and 4,194,167,160

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Solution

The third proportional to 2,718,510,624 and 4,194,167,160 is: 6,470,836,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718,510,624 : 4,194,167,160 = 4,194,167,160 : x
  2. Step 2: Convert to fraction form
    2,718,510,624/4,194,167,160 = 4,194,167,160/x
  3. Step 3: Cross multiply
    2,718,510,624x = 4,194,167,160 × 4,194,167,160
  4. Step 4: Simplify right side
    2,718,510,624x = 17,591,038,166,022,465,536
  5. Step 5: Solve for x
    x = 17,591,038,166,022,465,536/2,718,510,624
  6. Step 6: Final answer
    x = 6,470,836,645.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.