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Finding the Third Proportional to 1,357,320,252 and 2,075,424,138

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Solution

The third proportional to 1,357,320,252 and 2,075,424,138 is: 3,173,448,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,320,252 : 2,075,424,138 = 2,075,424,138 : x
  2. Step 2: Convert to fraction form
    1,357,320,252/2,075,424,138 = 2,075,424,138/x
  3. Step 3: Cross multiply
    1,357,320,252x = 2,075,424,138 × 2,075,424,138
  4. Step 4: Simplify right side
    1,357,320,252x = 4,307,385,352,593,042,944
  5. Step 5: Solve for x
    x = 4,307,385,352,593,042,944/1,357,320,252
  6. Step 6: Final answer
    x = 3,173,448,083.64

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Why These Related Problems?

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