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Finding the Third Proportional to 45,601,911,419 and 98,066,753,694

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Solution

The third proportional to 45,601,911,419 and 98,066,753,694 is: 210,892,216,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,601,911,419 : 98,066,753,694 = 98,066,753,694 : x
  2. Step 2: Convert to fraction form
    45,601,911,419/98,066,753,694 = 98,066,753,694/x
  3. Step 3: Cross multiply
    45,601,911,419x = 98,066,753,694 × 98,066,753,694
  4. Step 4: Simplify right side
    45,601,911,419x = 9,617,088,180,079,663,513,600
  5. Step 5: Solve for x
    x = 9,617,088,180,079,663,513,600/45,601,911,419
  6. Step 6: Final answer
    x = 210,892,216,594.08

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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.