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Finding the Third Proportional to 1,218,458,792 and 1,856,257,116

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Solution

The third proportional to 1,218,458,792 and 1,856,257,116 is: 2,827,908,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,458,792 : 1,856,257,116 = 1,856,257,116 : x
  2. Step 2: Convert to fraction form
    1,218,458,792/1,856,257,116 = 1,856,257,116/x
  3. Step 3: Cross multiply
    1,218,458,792x = 1,856,257,116 × 1,856,257,116
  4. Step 4: Simplify right side
    1,218,458,792x = 3,445,690,480,700,637,696
  5. Step 5: Solve for x
    x = 3,445,690,480,700,637,696/1,218,458,792
  6. Step 6: Final answer
    x = 2,827,908,915.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.