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Finding the Third Proportional to 8,848,680,742 and 18,959,503,516

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Solution

The third proportional to 8,848,680,742 and 18,959,503,516 is: 40,623,318,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848,680,742 : 18,959,503,516 = 18,959,503,516 : x
  2. Step 2: Convert to fraction form
    8,848,680,742/18,959,503,516 = 18,959,503,516/x
  3. Step 3: Cross multiply
    8,848,680,742x = 18,959,503,516 × 18,959,503,516
  4. Step 4: Simplify right side
    8,848,680,742x = 359,462,773,573,216,370,688
  5. Step 5: Solve for x
    x = 359,462,773,573,216,370,688/8,848,680,742
  6. Step 6: Final answer
    x = 40,623,318,215.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.