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Finding the Third Proportional to 310,978,082 and 719,933,907

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Solution

The third proportional to 310,978,082 and 719,933,907 is: 1,666,692,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,978,082 : 719,933,907 = 719,933,907 : x
  2. Step 2: Convert to fraction form
    310,978,082/719,933,907 = 719,933,907/x
  3. Step 3: Cross multiply
    310,978,082x = 719,933,907 × 719,933,907
  4. Step 4: Simplify right side
    310,978,082x = 518,304,830,448,284,672
  5. Step 5: Solve for x
    x = 518,304,830,448,284,672/310,978,082
  6. Step 6: Final answer
    x = 1,666,692,479.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.