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Finding the Third Proportional to 1,252,431,152 and 2,473,248,947

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Solution

The third proportional to 1,252,431,152 and 2,473,248,947 is: 4,884,069,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,431,152 : 2,473,248,947 = 2,473,248,947 : x
  2. Step 2: Convert to fraction form
    1,252,431,152/2,473,248,947 = 2,473,248,947/x
  3. Step 3: Cross multiply
    1,252,431,152x = 2,473,248,947 × 2,473,248,947
  4. Step 4: Simplify right side
    1,252,431,152x = 6,116,960,353,836,608,512
  5. Step 5: Solve for x
    x = 6,116,960,353,836,608,512/1,252,431,152
  6. Step 6: Final answer
    x = 4,884,069,151.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.