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Finding the Third Proportional to 658,230,057 and 1,370,941,425

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Solution

The third proportional to 658,230,057 and 1,370,941,425 is: 2,855,354,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,230,057 : 1,370,941,425 = 1,370,941,425 : x
  2. Step 2: Convert to fraction form
    658,230,057/1,370,941,425 = 1,370,941,425/x
  3. Step 3: Cross multiply
    658,230,057x = 1,370,941,425 × 1,370,941,425
  4. Step 4: Simplify right side
    658,230,057x = 1,879,480,390,781,030,656
  5. Step 5: Solve for x
    x = 1,879,480,390,781,030,656/658,230,057
  6. Step 6: Final answer
    x = 2,855,354,857.76

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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.