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Finding the Third Proportional to 852,962,962 and 1,310,483,320

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Solution

The third proportional to 852,962,962 and 1,310,483,320 is: 2,013,412,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,962,962 : 1,310,483,320 = 1,310,483,320 : x
  2. Step 2: Convert to fraction form
    852,962,962/1,310,483,320 = 1,310,483,320/x
  3. Step 3: Cross multiply
    852,962,962x = 1,310,483,320 × 1,310,483,320
  4. Step 4: Simplify right side
    852,962,962x = 1,717,366,531,998,222,336
  5. Step 5: Solve for x
    x = 1,717,366,531,998,222,336/852,962,962
  6. Step 6: Final answer
    x = 2,013,412,784.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.