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Finding the Third Proportional to 294,658,470 and 641,630,670

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Solution

The third proportional to 294,658,470 and 641,630,670 is: 1,397,176,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658,470 : 641,630,670 = 641,630,670 : x
  2. Step 2: Convert to fraction form
    294,658,470/641,630,670 = 641,630,670/x
  3. Step 3: Cross multiply
    294,658,470x = 641,630,670 × 641,630,670
  4. Step 4: Simplify right side
    294,658,470x = 411,689,916,684,648,896
  5. Step 5: Solve for x
    x = 411,689,916,684,648,896/294,658,470
  6. Step 6: Final answer
    x = 1,397,176,591.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.