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Finding the Third Proportional to 699,450,646 and 1,448,423,715.50

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Solution

The third proportional to 699,450,646 and 1,448,423,715.50 is: 2,999,398,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,450,646 : 1,448,423,715.50 = 1,448,423,715.50 : x
  2. Step 2: Convert to fraction form
    699,450,646/1,448,423,715.50 = 1,448,423,715.50/x
  3. Step 3: Cross multiply
    699,450,646x = 1,448,423,715.50 × 1,448,423,715.50
  4. Step 4: Simplify right side
    699,450,646x = 2,097,931,259,622,824,960
  5. Step 5: Solve for x
    x = 2,097,931,259,622,824,960/699,450,646
  6. Step 6: Final answer
    x = 2,999,398,558.88

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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.