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Finding the Third Proportional to 3,205,635,552 and 4,833,680,172

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Solution

The third proportional to 3,205,635,552 and 4,833,680,172 is: 7,288,559,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,635,552 : 4,833,680,172 = 4,833,680,172 : x
  2. Step 2: Convert to fraction form
    3,205,635,552/4,833,680,172 = 4,833,680,172/x
  3. Step 3: Cross multiply
    3,205,635,552x = 4,833,680,172 × 4,833,680,172
  4. Step 4: Simplify right side
    3,205,635,552x = 23,364,464,005,185,949,696
  5. Step 5: Solve for x
    x = 23,364,464,005,185,949,696/3,205,635,552
  6. Step 6: Final answer
    x = 7,288,559,047.40

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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.