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Finding the Third Proportional to 788,806,827 and 1,230,963,144

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Solution

The third proportional to 788,806,827 and 1,230,963,144 is: 1,920,964,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,806,827 : 1,230,963,144 = 1,230,963,144 : x
  2. Step 2: Convert to fraction form
    788,806,827/1,230,963,144 = 1,230,963,144/x
  3. Step 3: Cross multiply
    788,806,827x = 1,230,963,144 × 1,230,963,144
  4. Step 4: Simplify right side
    788,806,827x = 1,515,270,261,886,364,672
  5. Step 5: Solve for x
    x = 1,515,270,261,886,364,672/788,806,827
  6. Step 6: Final answer
    x = 1,920,964,943.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.