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Finding the Third Proportional to 1,724,946,940 and 3,752,122,417

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Solution

The third proportional to 1,724,946,940 and 3,752,122,417 is: 8,161,655,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,946,940 : 3,752,122,417 = 3,752,122,417 : x
  2. Step 2: Convert to fraction form
    1,724,946,940/3,752,122,417 = 3,752,122,417/x
  3. Step 3: Cross multiply
    1,724,946,940x = 3,752,122,417 × 3,752,122,417
  4. Step 4: Simplify right side
    1,724,946,940x = 14,078,422,632,153,921,536
  5. Step 5: Solve for x
    x = 14,078,422,632,153,921,536/1,724,946,940
  6. Step 6: Final answer
    x = 8,161,655,472.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.