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Finding the Third Proportional to 344,348,944,090 and 745,997,435,267

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Solution

The third proportional to 344,348,944,090 and 745,997,435,267 is: 1,616,128,589,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,348,944,090 : 745,997,435,267 = 745,997,435,267 : x
  2. Step 2: Convert to fraction form
    344,348,944,090/745,997,435,267 = 745,997,435,267/x
  3. Step 3: Cross multiply
    344,348,944,090x = 745,997,435,267 × 745,997,435,267
  4. Step 4: Simplify right side
    344,348,944,090x = 556,512,173,424,941,822,115,840
  5. Step 5: Solve for x
    x = 556,512,173,424,941,822,115,840/344,348,944,090
  6. Step 6: Final answer
    x = 1,616,128,589,839.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.