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Finding the Third Proportional to 2,831,594,442 and 4,286,737,251

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Solution

The third proportional to 2,831,594,442 and 4,286,737,251 is: 6,489,670,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,594,442 : 4,286,737,251 = 4,286,737,251 : x
  2. Step 2: Convert to fraction form
    2,831,594,442/4,286,737,251 = 4,286,737,251/x
  3. Step 3: Cross multiply
    2,831,594,442x = 4,286,737,251 × 4,286,737,251
  4. Step 4: Simplify right side
    2,831,594,442x = 18,376,116,259,111,036,928
  5. Step 5: Solve for x
    x = 18,376,116,259,111,036,928/2,831,594,442
  6. Step 6: Final answer
    x = 6,489,670,973.55

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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.