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Finding the Third Proportional to 795,368,868,804 and 1,744,725,247,254.10

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Solution

The third proportional to 795,368,868,804 and 1,744,725,247,254.10 is: 3,827,238,288,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,368,868,804 : 1,744,725,247,254.10 = 1,744,725,247,254.10 : x
  2. Step 2: Convert to fraction form
    795,368,868,804/1,744,725,247,254.10 = 1,744,725,247,254.10/x
  3. Step 3: Cross multiply
    795,368,868,804x = 1,744,725,247,254.10 × 1,744,725,247,254.10
  4. Step 4: Simplify right side
    795,368,868,804x = 3,044,066,188,405,880,582,569,984
  5. Step 5: Solve for x
    x = 3,044,066,188,405,880,582,569,984/795,368,868,804
  6. Step 6: Final answer
    x = 3,827,238,288,799.58

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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.