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Finding the Third Proportional to 560,011,664.25 and 806,718,720.38

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Solution

The third proportional to 560,011,664.25 and 806,718,720.38 is: 1,162,109,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,011,664.25 : 806,718,720.38 = 806,718,720.38 : x
  2. Step 2: Convert to fraction form
    560,011,664.25/806,718,720.38 = 806,718,720.38/x
  3. Step 3: Cross multiply
    560,011,664.25x = 806,718,720.38 × 806,718,720.38
  4. Step 4: Simplify right side
    560,011,664.25x = 650,795,093,803,477,504
  5. Step 5: Solve for x
    x = 650,795,093,803,477,504/560,011,664.25
  6. Step 6: Final answer
    x = 1,162,109,890.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.