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Finding the Third Proportional to 3,909,852,745,470 and 8,417,252,700,828

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Solution

The third proportional to 3,909,852,745,470 and 8,417,252,700,828 is: 18,120,923,636,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,852,745,470 : 8,417,252,700,828 = 8,417,252,700,828 : x
  2. Step 2: Convert to fraction form
    3,909,852,745,470/8,417,252,700,828 = 8,417,252,700,828/x
  3. Step 3: Cross multiply
    3,909,852,745,470x = 8,417,252,700,828 × 8,417,252,700,828
  4. Step 4: Simplify right side
    3,909,852,745,470x = 70,850,143,029,596,260,099,162,112
  5. Step 5: Solve for x
    x = 70,850,143,029,596,260,099,162,112/3,909,852,745,470
  6. Step 6: Final answer
    x = 18,120,923,636,237.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.