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Finding the Third Proportional to 2,718,510,628 and 4,194,167,166

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Solution

The third proportional to 2,718,510,628 and 4,194,167,166 is: 6,470,836,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718,510,628 : 4,194,167,166 = 4,194,167,166 : x
  2. Step 2: Convert to fraction form
    2,718,510,628/4,194,167,166 = 4,194,167,166/x
  3. Step 3: Cross multiply
    2,718,510,628x = 4,194,167,166 × 4,194,167,166
  4. Step 4: Simplify right side
    2,718,510,628x = 17,591,038,216,352,471,040
  5. Step 5: Solve for x
    x = 17,591,038,216,352,471,040/2,718,510,628
  6. Step 6: Final answer
    x = 6,470,836,654.15

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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.