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Finding the Third Proportional to 45,960,471 and 98,477,795

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Solution

The third proportional to 45,960,471 and 98,477,795 is: 211,004,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,960,471 : 98,477,795 = 98,477,795 : x
  2. Step 2: Convert to fraction form
    45,960,471/98,477,795 = 98,477,795/x
  3. Step 3: Cross multiply
    45,960,471x = 98,477,795 × 98,477,795
  4. Step 4: Simplify right side
    45,960,471x = 9,697,876,108,062,024
  5. Step 5: Solve for x
    x = 9,697,876,108,062,024/45,960,471
  6. Step 6: Final answer
    x = 211,004,715.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.