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Finding the Third Proportional to 1,596,828,282 and 3,494,682,834

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Solution

The third proportional to 1,596,828,282 and 3,494,682,834 is: 7,648,166,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,828,282 : 3,494,682,834 = 3,494,682,834 : x
  2. Step 2: Convert to fraction form
    1,596,828,282/3,494,682,834 = 3,494,682,834/x
  3. Step 3: Cross multiply
    1,596,828,282x = 3,494,682,834 × 3,494,682,834
  4. Step 4: Simplify right side
    1,596,828,282x = 12,212,808,110,254,272,512
  5. Step 5: Solve for x
    x = 12,212,808,110,254,272,512/1,596,828,282
  6. Step 6: Final answer
    x = 7,648,166,210.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.