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Finding the Third Proportional to 46,019,020,356 and 99,027,552,744

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Solution

The third proportional to 46,019,020,356 and 99,027,552,744 is: 213,095,718,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,019,020,356 : 99,027,552,744 = 99,027,552,744 : x
  2. Step 2: Convert to fraction form
    46,019,020,356/99,027,552,744 = 99,027,552,744/x
  3. Step 3: Cross multiply
    46,019,020,356x = 99,027,552,744 × 99,027,552,744
  4. Step 4: Simplify right side
    46,019,020,356x = 9,806,456,202,465,701,265,408
  5. Step 5: Solve for x
    x = 9,806,456,202,465,701,265,408/46,019,020,356
  6. Step 6: Final answer
    x = 213,095,718,392.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.