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Finding the Third Proportional to 336,706,153 and 723,538,345

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Solution

The third proportional to 336,706,153 and 723,538,345 is: 1,554,791,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,706,153 : 723,538,345 = 723,538,345 : x
  2. Step 2: Convert to fraction form
    336,706,153/723,538,345 = 723,538,345/x
  3. Step 3: Cross multiply
    336,706,153x = 723,538,345 × 723,538,345
  4. Step 4: Simplify right side
    336,706,153x = 523,507,736,685,339,008
  5. Step 5: Solve for x
    x = 523,507,736,685,339,008/336,706,153
  6. Step 6: Final answer
    x = 1,554,791,119.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.