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Finding the Third Proportional to 1,357,320,268 and 2,075,424,164

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Solution

The third proportional to 1,357,320,268 and 2,075,424,164 is: 3,173,448,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,320,268 : 2,075,424,164 = 2,075,424,164 : x
  2. Step 2: Convert to fraction form
    1,357,320,268/2,075,424,164 = 2,075,424,164/x
  3. Step 3: Cross multiply
    1,357,320,268x = 2,075,424,164 × 2,075,424,164
  4. Step 4: Simplify right side
    1,357,320,268x = 4,307,385,460,515,099,136
  5. Step 5: Solve for x
    x = 4,307,385,460,515,099,136/1,357,320,268
  6. Step 6: Final answer
    x = 3,173,448,125.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.