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Finding the Third Proportional to 8,757,985,469 and 18,136,838,369

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Solution

The third proportional to 8,757,985,469 and 18,136,838,369 is: 37,559,425,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757,985,469 : 18,136,838,369 = 18,136,838,369 : x
  2. Step 2: Convert to fraction form
    8,757,985,469/18,136,838,369 = 18,136,838,369/x
  3. Step 3: Cross multiply
    8,757,985,469x = 18,136,838,369 × 18,136,838,369
  4. Step 4: Simplify right side
    8,757,985,469x = 328,944,906,023,230,570,496
  5. Step 5: Solve for x
    x = 328,944,906,023,230,570,496/8,757,985,469
  6. Step 6: Final answer
    x = 37,559,425,873.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.