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Finding the Third Proportional to 9,984,399,195,492 and 21,471,416,136,694

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Solution

The third proportional to 9,984,399,195,492 and 21,471,416,136,694 is: 46,174,206,568,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984,399,195,492 : 21,471,416,136,694 = 21,471,416,136,694 : x
  2. Step 2: Convert to fraction form
    9,984,399,195,492/21,471,416,136,694 = 21,471,416,136,694/x
  3. Step 3: Cross multiply
    9,984,399,195,492x = 21,471,416,136,694 × 21,471,416,136,694
  4. Step 4: Simplify right side
    9,984,399,195,492x = 461,021,710,915,083,496,832,630,784
  5. Step 5: Solve for x
    x = 461,021,710,915,083,496,832,630,784/9,984,399,195,492
  6. Step 6: Final answer
    x = 46,174,206,568,507.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.