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Finding the Third Proportional to 21,148,282,418 and 31,994,864,641

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Solution

The third proportional to 21,148,282,418 and 31,994,864,641 is: 48,404,468,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148,282,418 : 31,994,864,641 = 31,994,864,641 : x
  2. Step 2: Convert to fraction form
    21,148,282,418/31,994,864,641 = 31,994,864,641/x
  3. Step 3: Cross multiply
    21,148,282,418x = 31,994,864,641 × 31,994,864,641
  4. Step 4: Simplify right side
    21,148,282,418x = 1,023,671,363,395,912,073,216
  5. Step 5: Solve for x
    x = 1,023,671,363,395,912,073,216/21,148,282,418
  6. Step 6: Final answer
    x = 48,404,468,181.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.