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Finding the Third Proportional to 4,562,416,360,272.30 and 9,787,142,003,056.80

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Solution

The third proportional to 4,562,416,360,272.30 and 9,787,142,003,056.80 is: 20,995,047,585,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,416,360,272.30 : 9,787,142,003,056.80 = 9,787,142,003,056.80 : x
  2. Step 2: Convert to fraction form
    4,562,416,360,272.30/9,787,142,003,056.80 = 9,787,142,003,056.80/x
  3. Step 3: Cross multiply
    4,562,416,360,272.30x = 9,787,142,003,056.80 × 9,787,142,003,056.80
  4. Step 4: Simplify right side
    4,562,416,360,272.30x = 95,788,148,587,998,680,350,457,856
  5. Step 5: Solve for x
    x = 95,788,148,587,998,680,350,457,856/4,562,416,360,272.30
  6. Step 6: Final answer
    x = 20,995,047,585,328.61

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