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Finding the Third Proportional to 3,205,635,536 and 4,833,680,148

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Solution

The third proportional to 3,205,635,536 and 4,833,680,148 is: 7,288,559,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,635,536 : 4,833,680,148 = 4,833,680,148 : x
  2. Step 2: Convert to fraction form
    3,205,635,536/4,833,680,148 = 4,833,680,148/x
  3. Step 3: Cross multiply
    3,205,635,536x = 4,833,680,148 × 4,833,680,148
  4. Step 4: Simplify right side
    3,205,635,536x = 23,364,463,773,169,303,552
  5. Step 5: Solve for x
    x = 23,364,463,773,169,303,552/3,205,635,536
  6. Step 6: Final answer
    x = 7,288,559,011.40

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