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Finding the Third Proportional to 531,313,149 and 833,398,035

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Solution

The third proportional to 531,313,149 and 833,398,035 is: 1,307,237,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,313,149 : 833,398,035 = 833,398,035 : x
  2. Step 2: Convert to fraction form
    531,313,149/833,398,035 = 833,398,035/x
  3. Step 3: Cross multiply
    531,313,149x = 833,398,035 × 833,398,035
  4. Step 4: Simplify right side
    531,313,149x = 694,552,284,741,861,248
  5. Step 5: Solve for x
    x = 694,552,284,741,861,248/531,313,149
  6. Step 6: Final answer
    x = 1,307,237,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.