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Finding the Third Proportional to 795,368,868,806 and 1,744,725,247,258

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Solution

The third proportional to 795,368,868,806 and 1,744,725,247,258 is: 3,827,238,288,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,368,868,806 : 1,744,725,247,258 = 1,744,725,247,258 : x
  2. Step 2: Convert to fraction form
    795,368,868,806/1,744,725,247,258 = 1,744,725,247,258/x
  3. Step 3: Cross multiply
    795,368,868,806x = 1,744,725,247,258 × 1,744,725,247,258
  4. Step 4: Simplify right side
    795,368,868,806x = 3,044,066,188,419,489,186,447,360
  5. Step 5: Solve for x
    x = 3,044,066,188,419,489,186,447,360/795,368,868,806
  6. Step 6: Final answer
    x = 3,827,238,288,807.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.