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Finding the Third Proportional to 64,676,086,787 and 140,740,831,246

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Solution

The third proportional to 64,676,086,787 and 140,740,831,246 is: 306,264,379,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676,086,787 : 140,740,831,246 = 140,740,831,246 : x
  2. Step 2: Convert to fraction form
    64,676,086,787/140,740,831,246 = 140,740,831,246/x
  3. Step 3: Cross multiply
    64,676,086,787x = 140,740,831,246 × 140,740,831,246
  4. Step 4: Simplify right side
    64,676,086,787x = 19,807,981,579,815,048,183,808
  5. Step 5: Solve for x
    x = 19,807,981,579,815,048,183,808/64,676,086,787
  6. Step 6: Final answer
    x = 306,264,379,368.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.