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Finding the Third Proportional to 699,450,636 and 1,448,423,700

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Solution

The third proportional to 699,450,636 and 1,448,423,700 is: 2,999,398,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,450,636 : 1,448,423,700 = 1,448,423,700 : x
  2. Step 2: Convert to fraction form
    699,450,636/1,448,423,700 = 1,448,423,700/x
  3. Step 3: Cross multiply
    699,450,636x = 1,448,423,700 × 1,448,423,700
  4. Step 4: Simplify right side
    699,450,636x = 2,097,931,214,721,690,112
  5. Step 5: Solve for x
    x = 2,097,931,214,721,690,112/699,450,636
  6. Step 6: Final answer
    x = 2,999,398,537.57

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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.