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Finding the Third Proportional to 6,685,996,844 and 10,045,843,268

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Solution

The third proportional to 6,685,996,844 and 10,045,843,268 is: 15,094,079,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,996,844 : 10,045,843,268 = 10,045,843,268 : x
  2. Step 2: Convert to fraction form
    6,685,996,844/10,045,843,268 = 10,045,843,268/x
  3. Step 3: Cross multiply
    6,685,996,844x = 10,045,843,268 × 10,045,843,268
  4. Step 4: Simplify right side
    6,685,996,844x = 100,918,966,965,220,917,248
  5. Step 5: Solve for x
    x = 100,918,966,965,220,917,248/6,685,996,844
  6. Step 6: Final answer
    x = 15,094,079,360.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.