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Finding the Third Proportional to 7,806,941,808 and 11,893,460,256

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Solution

The third proportional to 7,806,941,808 and 11,893,460,256 is: 18,119,053,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806,941,808 : 11,893,460,256 = 11,893,460,256 : x
  2. Step 2: Convert to fraction form
    7,806,941,808/11,893,460,256 = 11,893,460,256/x
  3. Step 3: Cross multiply
    7,806,941,808x = 11,893,460,256 × 11,893,460,256
  4. Step 4: Simplify right side
    7,806,941,808x = 141,454,396,861,051,584,512
  5. Step 5: Solve for x
    x = 141,454,396,861,051,584,512/7,806,941,808
  6. Step 6: Final answer
    x = 18,119,053,573.08

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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.