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Finding the Third Proportional to 1,768,044,518 and 2,946,563,276

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Solution

The third proportional to 1,768,044,518 and 2,946,563,276 is: 4,910,642,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,044,518 : 2,946,563,276 = 2,946,563,276 : x
  2. Step 2: Convert to fraction form
    1,768,044,518/2,946,563,276 = 2,946,563,276/x
  3. Step 3: Cross multiply
    1,768,044,518x = 2,946,563,276 × 2,946,563,276
  4. Step 4: Simplify right side
    1,768,044,518x = 8,682,235,139,471,852,544
  5. Step 5: Solve for x
    x = 8,682,235,139,471,852,544/1,768,044,518
  6. Step 6: Final answer
    x = 4,910,642,832.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.