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Finding the Third Proportional to 45,601,911,421 and 98,066,753,698

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Solution

The third proportional to 45,601,911,421 and 98,066,753,698 is: 210,892,216,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,601,911,421 : 98,066,753,698 = 98,066,753,698 : x
  2. Step 2: Convert to fraction form
    45,601,911,421/98,066,753,698 = 98,066,753,698/x
  3. Step 3: Cross multiply
    45,601,911,421x = 98,066,753,698 × 98,066,753,698
  4. Step 4: Simplify right side
    45,601,911,421x = 9,617,088,180,864,197,591,040
  5. Step 5: Solve for x
    x = 9,617,088,180,864,197,591,040/45,601,911,421
  6. Step 6: Final answer
    x = 210,892,216,602.03

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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.