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Finding the Third Proportional to 259,161,780,866 and 403,894,673,715

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Solution

The third proportional to 259,161,780,866 and 403,894,673,715 is: 629,455,882,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,161,780,866 : 403,894,673,715 = 403,894,673,715 : x
  2. Step 2: Convert to fraction form
    259,161,780,866/403,894,673,715 = 403,894,673,715/x
  3. Step 3: Cross multiply
    259,161,780,866x = 403,894,673,715 × 403,894,673,715
  4. Step 4: Simplify right side
    259,161,780,866x = 163,130,907,455,346,326,896,640
  5. Step 5: Solve for x
    x = 163,130,907,455,346,326,896,640/259,161,780,866
  6. Step 6: Final answer
    x = 629,455,882,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.