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Finding the Third Proportional to 459,707,468,676 and 1,074,084,075,096

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Solution

The third proportional to 459,707,468,676 and 1,074,084,075,096 is: 2,509,545,045,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,707,468,676 : 1,074,084,075,096 = 1,074,084,075,096 : x
  2. Step 2: Convert to fraction form
    459,707,468,676/1,074,084,075,096 = 1,074,084,075,096/x
  3. Step 3: Cross multiply
    459,707,468,676x = 1,074,084,075,096 × 1,074,084,075,096
  4. Step 4: Simplify right side
    459,707,468,676x = 1,153,656,600,374,829,712,932,864
  5. Step 5: Solve for x
    x = 1,153,656,600,374,829,712,932,864/459,707,468,676
  6. Step 6: Final answer
    x = 2,509,545,045,455.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.