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Finding the Third Proportional to 334,690,020 and 723,158,914

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Solution

The third proportional to 334,690,020 and 723,158,914 is: 1,562,516,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,690,020 : 723,158,914 = 723,158,914 : x
  2. Step 2: Convert to fraction form
    334,690,020/723,158,914 = 723,158,914/x
  3. Step 3: Cross multiply
    334,690,020x = 723,158,914 × 723,158,914
  4. Step 4: Simplify right side
    334,690,020x = 522,958,814,897,659,392
  5. Step 5: Solve for x
    x = 522,958,814,897,659,392/334,690,020
  6. Step 6: Final answer
    x = 1,562,516,907.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.