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Finding the Third Proportional to 746,682,327 and 1,075,548,658.50

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Solution

The third proportional to 746,682,327 and 1,075,548,658.50 is: 1,549,259,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,682,327 : 1,075,548,658.50 = 1,075,548,658.50 : x
  2. Step 2: Convert to fraction form
    746,682,327/1,075,548,658.50 = 1,075,548,658.50/x
  3. Step 3: Cross multiply
    746,682,327x = 1,075,548,658.50 × 1,075,548,658.50
  4. Step 4: Simplify right side
    746,682,327x = 1,156,804,916,801,149,696
  5. Step 5: Solve for x
    x = 1,156,804,916,801,149,696/746,682,327
  6. Step 6: Final answer
    x = 1,549,259,805.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.