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Finding the Third Proportional to 1,724,946,891 and 3,752,122,312

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Solution

The third proportional to 1,724,946,891 and 3,752,122,312 is: 8,161,655,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,946,891 : 3,752,122,312 = 3,752,122,312 : x
  2. Step 2: Convert to fraction form
    1,724,946,891/3,752,122,312 = 3,752,122,312/x
  3. Step 3: Cross multiply
    1,724,946,891x = 3,752,122,312 × 3,752,122,312
  4. Step 4: Simplify right side
    1,724,946,891x = 14,078,421,844,208,226,304
  5. Step 5: Solve for x
    x = 14,078,421,844,208,226,304/1,724,946,891
  6. Step 6: Final answer
    x = 8,161,655,247.28

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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.