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Finding the Third Proportional to 3,932,742,180 and 8,426,436,324

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Solution

The third proportional to 3,932,742,180 and 8,426,436,324 is: 18,054,788,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,742,180 : 8,426,436,324 = 8,426,436,324 : x
  2. Step 2: Convert to fraction form
    3,932,742,180/8,426,436,324 = 8,426,436,324/x
  3. Step 3: Cross multiply
    3,932,742,180x = 8,426,436,324 × 8,426,436,324
  4. Step 4: Simplify right side
    3,932,742,180x = 71,004,829,122,426,634,240
  5. Step 5: Solve for x
    x = 71,004,829,122,426,634,240/3,932,742,180
  6. Step 6: Final answer
    x = 18,054,788,712.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.