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Finding the Third Proportional to 1,768,044,539 and 2,946,563,310

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Solution

The third proportional to 1,768,044,539 and 2,946,563,310 is: 4,910,642,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,044,539 : 2,946,563,310 = 2,946,563,310 : x
  2. Step 2: Convert to fraction form
    1,768,044,539/2,946,563,310 = 2,946,563,310/x
  3. Step 3: Cross multiply
    1,768,044,539x = 2,946,563,310 × 2,946,563,310
  4. Step 4: Simplify right side
    1,768,044,539x = 8,682,235,339,838,155,776
  5. Step 5: Solve for x
    x = 8,682,235,339,838,155,776/1,768,044,539
  6. Step 6: Final answer
    x = 4,910,642,887.28

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