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Finding the Third Proportional to 1,358,839,253,752 and 2,109,856,988,688

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Solution

The third proportional to 1,358,839,253,752 and 2,109,856,988,688 is: 3,275,955,195,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,839,253,752 : 2,109,856,988,688 = 2,109,856,988,688 : x
  2. Step 2: Convert to fraction form
    1,358,839,253,752/2,109,856,988,688 = 2,109,856,988,688/x
  3. Step 3: Cross multiply
    1,358,839,253,752x = 2,109,856,988,688 × 2,109,856,988,688
  4. Step 4: Simplify right side
    1,358,839,253,752x = 4,451,496,512,715,595,395,891,200
  5. Step 5: Solve for x
    x = 4,451,496,512,715,595,395,891,200/1,358,839,253,752
  6. Step 6: Final answer
    x = 3,275,955,195,159.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.