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Finding the Third Proportional to 269,454,991,629 and 579,777,808,386

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Solution

The third proportional to 269,454,991,629 and 579,777,808,386 is: 1,247,489,627,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,454,991,629 : 579,777,808,386 = 579,777,808,386 : x
  2. Step 2: Convert to fraction form
    269,454,991,629/579,777,808,386 = 579,777,808,386/x
  3. Step 3: Cross multiply
    269,454,991,629x = 579,777,808,386 × 579,777,808,386
  4. Step 4: Simplify right side
    269,454,991,629x = 336,142,307,096,873,364,619,264
  5. Step 5: Solve for x
    x = 336,142,307,096,873,364,619,264/269,454,991,629
  6. Step 6: Final answer
    x = 1,247,489,627,357.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.