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Finding the Third Proportional to 12,954,375,708 and 19,902,966,516

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Solution

The third proportional to 12,954,375,708 and 19,902,966,516 is: 30,578,708,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954,375,708 : 19,902,966,516 = 19,902,966,516 : x
  2. Step 2: Convert to fraction form
    12,954,375,708/19,902,966,516 = 19,902,966,516/x
  3. Step 3: Cross multiply
    12,954,375,708x = 19,902,966,516 × 19,902,966,516
  4. Step 4: Simplify right side
    12,954,375,708x = 396,128,076,137,017,180,160
  5. Step 5: Solve for x
    x = 396,128,076,137,017,180,160/12,954,375,708
  6. Step 6: Final answer
    x = 30,578,708,311.85

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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.