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Finding the Third Proportional to 94,837,575,492 and 206,204,462,010

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Solution

The third proportional to 94,837,575,492 and 206,204,462,010 is: 448,348,451,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,837,575,492 : 206,204,462,010 = 206,204,462,010 : x
  2. Step 2: Convert to fraction form
    94,837,575,492/206,204,462,010 = 206,204,462,010/x
  3. Step 3: Cross multiply
    94,837,575,492x = 206,204,462,010 × 206,204,462,010
  4. Step 4: Simplify right side
    94,837,575,492x = 42,520,280,152,833,534,197,760
  5. Step 5: Solve for x
    x = 42,520,280,152,833,534,197,760/94,837,575,492
  6. Step 6: Final answer
    x = 448,348,451,889.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.