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Finding the Third Proportional to 555,309,699,324 and 781,998,424,380

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Solution

The third proportional to 555,309,699,324 and 781,998,424,380 is: 1,101,226,102,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,309,699,324 : 781,998,424,380 = 781,998,424,380 : x
  2. Step 2: Convert to fraction form
    555,309,699,324/781,998,424,380 = 781,998,424,380/x
  3. Step 3: Cross multiply
    555,309,699,324x = 781,998,424,380 × 781,998,424,380
  4. Step 4: Simplify right side
    555,309,699,324x = 611,521,535,732,802,534,768,640
  5. Step 5: Solve for x
    x = 611,521,535,732,802,534,768,640/555,309,699,324
  6. Step 6: Final answer
    x = 1,101,226,102,258.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.