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Finding the Third Proportional to 67,574,341,084.50 and 102,231,214,641

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Solution

The third proportional to 67,574,341,084.50 and 102,231,214,641 is: 154,662,569,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,574,341,084.50 : 102,231,214,641 = 102,231,214,641 : x
  2. Step 2: Convert to fraction form
    67,574,341,084.50/102,231,214,641 = 102,231,214,641/x
  3. Step 3: Cross multiply
    67,574,341,084.50x = 102,231,214,641 × 102,231,214,641
  4. Step 4: Simplify right side
    67,574,341,084.50x = 10,451,221,246,974,212,702,208
  5. Step 5: Solve for x
    x = 10,451,221,246,974,212,702,208/67,574,341,084.50
  6. Step 6: Final answer
    x = 154,662,569,834.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.