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Finding the Third Proportional to 355,723,730 and 770,819,020

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Solution

The third proportional to 355,723,730 and 770,819,020 is: 1,670,290,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,723,730 : 770,819,020 = 770,819,020 : x
  2. Step 2: Convert to fraction form
    355,723,730/770,819,020 = 770,819,020/x
  3. Step 3: Cross multiply
    355,723,730x = 770,819,020 × 770,819,020
  4. Step 4: Simplify right side
    355,723,730x = 594,161,961,593,760,384
  5. Step 5: Solve for x
    x = 594,161,961,593,760,384/355,723,730
  6. Step 6: Final answer
    x = 1,670,290,485.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.