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Finding the Third Proportional to 780,115,815 and 1,624,801,590

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Solution

The third proportional to 780,115,815 and 1,624,801,590 is: 3,384,087,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,115,815 : 1,624,801,590 = 1,624,801,590 : x
  2. Step 2: Convert to fraction form
    780,115,815/1,624,801,590 = 1,624,801,590/x
  3. Step 3: Cross multiply
    780,115,815x = 1,624,801,590 × 1,624,801,590
  4. Step 4: Simplify right side
    780,115,815x = 2,639,980,206,866,528,256
  5. Step 5: Solve for x
    x = 2,639,980,206,866,528,256/780,115,815
  6. Step 6: Final answer
    x = 3,384,087,536.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.